Question

Find the HCF and LCM of 75 and 160 by Fundamental theorem of Arithmetic and verify LCM * HCF=product of two numbers

Answer 1

75=3x5x5
160=2x2x2x2x2x5

HCF=5
LCM=2*5 x 3*1 x 5*2 = 32x3x25 =2400

Product of the two numbers = 75x160= 1200
Product of HCF and LCM = 5x2400= 1200


Hence, the product of two numbers = HCF and LCM