Find the (HCF x LCM) for the numbers 100 and 190 – InterviewSolution

1.

Find the (HCF x LCM) for the numbers 100 and 190

Answer»

HCF =

Factors of 100 = 1,2,4,5,10,20,25,50,100

Factors of 190 = 1,2,5,10,19,38,95,190

Thus, the HCF is 10.

LCM =

Prime factors of 100 = 2 × 2 × 5 × 5

Prime factors of 190 = 2 × 5 × 19

Thus LCM = 2 × 2 × 5 × 5 × 19 = 1900

LCMxHCF=1900*10=19000

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