The HCF of two numbers is 18 and their product is 12960. Find their LCM.
HCF of two numbers = 18Product of two numbers = 12960Let their LCM be x.Using the formula, product of two numbers = HCF × LCMwe conclude that12960 = 18 × xx =` 12960 / 18`= 720
Hence, their LCM is 720.
Concept: Euclid’s Division Lemma
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The HCF of two numbers is 18 and their product is 12960. Find their LCM.
Solution
HCF of two numbers = 18
Product of two numbers = 12960
Let their LCM be x.
Using the formula, Product of two numbers = HCF x LCM
We conclude that
12960 = 18 . X
X =
Hence, their LCM is 720.
Mathematics
Secondary School Mathematics X
Standard X
11