Question

Find the LCM and HCF of 26,72 and 108 by prime factorization method...

Answer 1

Prime factorization of 26 = 2 * 13

Prime factorization of 72 = 2 * 2 * 2 * 3 * 3

Prime factorization of 108 = 2 * 2 * 3 * 3 * 3

LCM(26,72,108) = 2 * 2 * 2 * 3 * 3 * 3 * 13

                           = 2808


HCF(26,72,108) = 2.


Hope this helps!

Answer 2

26=2*13
72=2^3*3^2
108=2^2*3^3
HCF=2
LCM=2^3*3^3*13=2808
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