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Find the LCM of:
96 and 120
Given: 96 and 120
To find: Here we have to find the LCM of 96 and 120.
Solution:
Using prime factorization method:
Prime factorization of 96 = 2 $\times$ 2 $\times$ 2 $\times$ 2 $\times$ 2 $\times$ 3 = 25 $\times$ 31
Prime factorization of 120 = 2 $\times$ 2 $\times$ 2 $\times$ 3 $\times$ 5 = 23 $\times$ 31 $\times$ 51
Highest power of each prime number:
25, 31, 51
Multiplying these values together:
LCM = 25 $\times$ 31 $\times$ 51
LCM(96, 120) = 480
So, LCM of 96 and 120 is 480.
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