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Question

# Samaira was a little confused with the concept of LCM. Kate came to her rescue and helped her solving a sum. The question asked them to find the LCM of 27 and 12. What will be the answer if they solved it correctly?

A
96
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B
324
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C
108
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D
36
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Solution

## The correct option is C 108LCM is nothing but finding a common multiple of the given numbers. Let us take the number 12 and 27, the prime factors of these numbers are: 12 = 2 × 2 × 3 27 = 3 × 3 × 3 The LCM will be 3 × 3 × 3× 2× 2 = 108( For finding the LCM we have to first take a look at the common factors occurring maximum number of times, we take them and multiply it then we take the uncommon terms and multiply them with the common terms the result that we get is the required LCM.)

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