Question

how to find lcm by prime factorisation method with example of 3 no. ​

Answer 1

Answer:

Let us take an example find the LCM of 12,16,18

Prime factors of 12=2*2*3

Prime factors of 16=2*2*2*2

Prime factors of 18=2*3*3

The factor ‘2’repeated 4 times[maximum number of times]

The factor ‘3’repeated 2 times[maximum number of times

LCM=2*2*2*2*3*3=16*9=144

Answer 2

Answer:

Let us take an example of 12, 15 and 21.

By factorising each number,

12 = 2 * 2 * 3

15 = 3 * 5

21 = 3 * 7

LCM = 2² * 3 * 5 * 7

LCM = 420

Hence, the LCM of the three numbers is 420.

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