LCM of 8, 12, 10 and 20.

Given: 8, 12, 10 and 20.

To find: Here we have to find the LCM of 8, 12, 10 and 20.

Solution:

Writing all the numbers as a product of their prime factors:

Prime factorization of 8:

• 2 $\times$ 2 $\times$ 2 = 2³

Prime factorization of 12:

• 2 $\times$ 2 $\times$ 3 = 2² $\times$ 3¹

Prime factorization of 10:

• 2 $\times$ 5 = 2¹ $\times$ 5¹

Prime factorization of 20:

• 2 $\times$ 2 $\times$ 5 = 2² $\times$ 5¹

Finding highest power of each prime number:

• 2³, 3¹, 5¹

Multiplying these values together:

• 2³ $\times$ 3¹ $\times$ 5¹ = 120

Thus,

LCM(8, 12, 10, 20) = 120

So, LCM of 8, 12, 10 and 20 is 120.

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Updated on: 10-Oct-2022

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