Find the least number which when divided by 6,7,8, 9 and 12

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60 Questions 120 Marks 50 Mins

Given:

6, 7, 8, 9, and 12.

Concept used:

The least common multiple (LCM) of a set of numbers is the smallest number that leaves 0 as the remainder each time when divided by any of those numbers.

Calculation:

LCM (6, 7, 8, 9 12) = 504

So, 504 is the smallest number that leaves 0 as the remainder each time when divided by any of 6, 7, 8, 9, and 12.

So, the required number = (504 + 2) = 506

∴ 506 will be the smallest number which when divided by 6, 7, 8, 9, and 12 leaves the remainder 2 each time.

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