Question

find the LCM and HCF of 120 and 144 by using the fundamental theorem of arithmetic

Answer 1

Hi !

Fundamental theorem of arithmetic :-
It states that every composite no: can be expressed as  the product of its prime , and this factorization is unique , apart from the order in which the prime factors occur.

Prime factorization of 120 and 144 :-

120 = 2³ × 3 × 5
 144 = 2⁴  × 3²

HCF = 2³ × 3
        = 24

LCM = 2⁴  × 3² × 5 = 720

Answer 2

Solution:-


given by:-

》120 and 144

》120= 2×2×2×3×5

》144= 2×2×2×2×3×3

》HCF = 2×2×2×3 = 24

》LCM = 2×2×2×2×3×3×5 = 720