1. What is the LCM of 15, 20, 18? Show
Answer: LCM of 15, 20, 18 is 180. 2. What are the Factors of 180? Answer: Factors of 180 are . There are integers that are factors of 180 3. How to Find the LCM of 15, 20, 18 ? Least Common Multiple of 15, 20, 18. Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(15, 20, 18) = 2 x 2 x 3 x 3 x 5 = 180. What is the LCM and GCF of 15 and 18?
Multiples of 15: 15, 30, 45, 60, 75, 90, etc. Multiples of 18: 18, 36, 54, 72, 90, 108, etc. The least multiple on the two lists that they have in common is the LCM of 15 and 18. Therefore, the LCM of 15 and 18 is 90. To find the GCF, we first list the factors of 15 and 18 and then we find the largest factor they have in common. The factors of any number, are all the numbers that you can evenly divide into that number. In other words, the factors of 15 are all the numbers that can evenly divide into 15, and the factors of 18 are all the numbers that can evenly divide into 18. Here are the factors for 15 and 18:Factors of 15: 1, 3, 5, and 15. Factors of 18: 1, 2, 3, 6, 9, and 18. The greatest factor on the two lists that they have in common is the GCF of 15 and 18. Therefore, the GCF of 15 and 18 is 3.In summary, the answer to the question "What is the LCM and GCF of 15 and 18?" is 90 and 3. LCM and GCF Calculator Do you need the LCM and GCF for another set of numbers? No problem, please enter them below: What is the LCM and GCF of 15 and 19? Here is the next LCM and GCF question on our list that we have tackled! Copyright | Privacy Policy | Disclaimer | ContactThe lcm of 15 and 18 is the smallest positive integer that divides the numbers 15 and 18 without a remainder. Spelled out, it is the least common multiple of 15 and 18. Here you can find the lcm of 15 and 18, along with a total of three methods for computing it. This Least Common Multiple Calculator is Really Cool! Click To TweetIn addition, we have a calculator you should check out. Not only can it determine the lcm of 15 and 18, but also that of three or more integers including fifteen and eighteen for example. Keep reading to learn everything about the lcm (15,18) and the terms related to it.What is the LCM of 15 and 18If you just want to know what is the least common multiple of 15 and 18, it is 90. Usually, this is written as lcm(15,18) = 90The lcm of 15 and 18 can be obtained like this:
Taking the above into account you also know how to find all the common multiples of 15 and 18, not just the smallest. In the next section we show you how to calculate the lcm of fifteen and eighteen by means of two more methods. How to find the LCM of 15 and 18The least common multiple of 15 and 18 can be computed by using the greatest common factor aka gcf of 15 and 18. This is the easiest approach: lcm (15,18) = = 90Alternatively, the lcm of 15 and 18 can be found using the prime factorization of 15 and 18:
In any case, the easiest way to compute the lcm of two numbers like 15 and 18 is by using our calculator below. Note that it can also compute the lcm of more than two numbers, separated by a comma. For example, enter 15,18. Push the button only to start over. Similar searched terms on our site also include:
Use of LCM of 15 and 18What is the least common multiple of 15 and 18 used for? Answer: It is helpful for adding and subtracting fractions like 1/15 and 1/18. Just multiply the dividends and divisors by 6 and 5, respectively, such that the divisors have the value of 90, the lcm of 15 and 18. . . Properties of LCM of 15 and 18The most important properties of the lcm(15,18) are:
The associativity is particularly useful to get the lcm of three or more numbers; our calculator makes use of it. To sum up, the lcm of 15 and 18 is 90. In common notation: lcm (15,18) = 90. If you have been searching for lcm 15 and 18 or lcm 15 18 then you have come to the correct page, too. The same is the true if you typed lcm for 15 and 18 in your favorite search engine. Note that you can find the least common multiple of many integer pairs including fifteen / eighteen by using the search form in the sidebar of this page. Questions and comments related to the lcm of 15 and 18 are really appreciated. Use the form below or send us a mail to get in touch. Please hit the sharing buttons if our article about the least common multiple of 15 and 18 has been useful to you, and make sure to bookmark our site. Thanks for your visit. The LCM of 15 and 18 is 90. Steps to find LCM
MathStep (Works offline) Download our mobile app and learn how to find LCM of upto four numbers in your own time:Android and iPhone/ iPad Find least common multiple (LCM) of: 30 & 36 45 & 54 5 & 6 75 & 90 105 & 126 30 & 18 15 & 36 45 & 18 15 & 54 75 & 18 15 & 90 105 & 18 15 & 126 Enter two numbers separate by comma. To find least common multiple (LCM) of more than two numbers, click here.
LCM of 15 and 18 is the smallest number among all common multiples of 15 and 18. The first few multiples of 15 and 18 are (15, 30, 45, 60, 75, 90, . . . ) and (18, 36, 54, 72, 90, . . . ) respectively. There are 3 commonly used methods to find LCM of 15 and 18 - by division method, by prime factorization, and by listing multiples. What is the LCM of 15 and 18?Answer: LCM of 15 and 18 is 90. Explanation: The LCM of two non-zero integers, x(15) and y(18), is the smallest positive integer m(90) that is divisible by both x(15) and y(18) without any remainder. Methods to Find LCM of 15 and 18The methods to find the LCM of 15 and 18 are explained below.
LCM of 15 and 18 by Listing MultiplesTo calculate the LCM of 15 and 18 by listing out the common multiples, we can follow the given below steps:
∴ The least common multiple of 15 and 18 = 90. LCM of 15 and 18 by Prime FactorizationPrime factorization of 15 and 18 is (3 × 5) = 31 × 51 and (2 × 3 × 3) = 21 × 32 respectively. LCM of 15 and 18 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 21 × 32 × 51 = 90. LCM of 15 and 18 by Division MethodTo calculate the LCM of 15 and 18 by the division method, we will divide the numbers(15, 18) by their prime factors (preferably common). The product of these divisors gives the LCM of 15 and 18.
The LCM of 15 and 18 is the product of all prime numbers on the left, i.e. LCM(15, 18) by division method = 2 × 3 × 3 × 5 = 90. ☛ Also Check:
LCM of 15 and 18 Examples
Example 2: Verify the relationship between GCF and LCM of 15 and 18. Solution: The relation between GCF and LCM of 15 and 18 is given as, LCM(15, 18) × GCF(15, 18) = Product of 15, 18 Prime factorization of 15 and 18 is given as, 15 = (3 × 5) = 31 × 51 and 18 = (2 × 3 × 3) = 21 × 32 LCM(15, 18) = 90 GCF(15, 18) = 3 LHS = LCM(15, 18) × GCF(15, 18) = 90 × 3 = 270 RHS = Product of 15, 18 = 15 × 18 = 270 ⇒ LHS = RHS = 270Hence, verified.
Example 3: Find the smallest number that is divisible by 15 and 18 exactly. Solution: The smallest number that is divisible by 15 and 18 exactly is their LCM.
Therefore, the LCM of 15 and 18 is 90. go to slidego to slidego to slide
The LCM of 15 and 18 is 90. To find the LCM of 15 and 18, we need to find the multiples of 15 and 18 (multiples of 15 = 15, 30, 45, 60 . . . . 90; multiples of 18 = 18, 36, 54, 72 . . . . 90) and choose the smallest multiple that is exactly divisible by 15 and 18, i.e., 90. What is the Least Perfect Square Divisible by 15 and 18?The least number divisible by 15 and 18 = LCM(15, 18) Which of the following is the LCM of 15 and 18? 90, 50, 12, 35The value of LCM of 15, 18 is the smallest common multiple of 15 and 18. The number satisfying the given condition is 90. If the LCM of 18 and 15 is 90, Find its GCF.LCM(18, 15) × GCF(18, 15) = 18 × 15 Since the LCM of 18 and 15 = 90 ⇒ 90 × GCF(18, 15) = 270 Therefore, the GCF = 270/90 = 3. What are the Methods to Find LCM of 15 and 18?The commonly used methods to find the LCM of 15 and 18 are:
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