Question

8,6,4,12 find the lcm of each of the following sets of number by the prime factorization​

Answer 1

Answer :

24

Step-by-step explanation :

Given numbers : 8, 6, 4, 12

Prime factorisation of the above numbers :

8 = 2 × 2 × 2 = 2³

6 = 2 × 3 = 2¹ × 3¹

4 = 2 × 2 = 2²

12 = 2 × 2 × 3 = 2² × 3¹

Key Point : LCM can be calculated by multiplying the numbers with highest power among them.

So,

LCM = 2³ × 3¹

= 8 × 3

= 24

Hence, the LCM is 24.