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Find the Lcm and Hcf of the Following Integers by Applying the Prime Factorisation Method: 84, 90 and 120

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Question

Find the LCM and HCF of the following integers by applying the prime factorisation method:

 84, 90 and 120

Numerical
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Solution

84, 90 and 120

Let us first find the factors of 84, 90 and 120

`84=2^2xx3xx7`

`90=2xx3^2xx5`

`120=2^3xx3xx5`

L.C.M of 84,90 and 120 =`2^3xx3^2xx5xx7`

L.C.M of 84,90 and 120 = 2520

H.C.F of 84,90 and 120 =6 

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