Findthe LCMand HCFof the positive integers by applying the prime factorization method
i) 35,48,56
ii) 52,63,162

Question

Findthe LCMand HCFof the positive integers by applying the prime
factorization method
i) 35,48,56
ii) 52,63,162

Devdatta Biswas · Answer

(i) Prime factors of 48 = 24 3 Prime factors of 35 = 5 7
Prime factors of 56 = 23 7
Thus, HCF = 1
and, LCM = 24 31
51 71 = 1680

(ii) Prime factors of 52 = 22 13 Prime factors of 63 =
32 7 Prime factors of 162 = 2 34

Thus, HCF = 1
and, LCM = 22 131
34 71
= 29484