Question

Find the lcm of 21,14,35 using the prime factorisation method

Answer 1

The LCM of 21, 14 and 35 is 210.

Given,

21, 14, 35

To find,

Least Common Multiple of the given numbers

Solution,

To find the LCM using prime factorisation method, we need to write each of the numbers as a product of prime factors. Then, we multiply all the factors with the highest powers.

21 = 3 * 7

14 = 2 * 7

35 = 5 * 7

So, LCM = 2 * 3 * 5 * 7 = 210

LCM = 210

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