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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Updated on: 10-Oct-2022

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