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The least common multiple of 135 and 24 is

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1080

240

360

answer is D.

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Detailed Solution

LCM stands for Lowest common multiple, and it is the smallest common multiple between any two or more numbers.

Let us write the numbers as their prime factors.

Now, 135 = 3 × 3 × 3 × 5 × 1 or 3³× 5 × 1.

and 24 = 2 × 2 × 2 × 3 × 1 or 2³× 3 × 1.
Also, LCM in terms of prime factors, is the product of the greatest power of each prime factor of the numbers taken.
Therefore,

LCM = 2³×3³× 5 = 1080

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