Question

Find the lcm of 84,96,108

Answer 1

Answer:

18144 ...............

Answer 2

Answer:

6048

Step-by-step explanation:

1. By Prime Factorization method.

Prime factors of 84 are 2, 3, 7. Prime factorization of 84 in exponential form is:

84 = 2^2 × 3^1 × 7^1

Prime factors of 96 are 2, 3. Prime factorization of 96 in exponential form is:

96 = 2^5 × 3^1

Prime factors of 108 are 2, 3. Prime factorization of 108 in exponential form is:

108 = 2^2 × 3^3

Now multiplying the highest exponent prime factors, we get,

= 2^5 * 3^3 * 7^1

= 32 * 27 * 7

= 6048

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