Q3 of 124 Page 1

Given that HCF (306, 657) = 9, find LCM (360, 657).

We know that LCM × HCF = Product of the numbers

Therefore LCM = = = 22338

Find the LCM and HCF of the following pairs of integers and verify that LMC × HCF = Product of the integers:

(i) 26 and 91

(ii) 510 and 92

(iii) 336 and 54

Find the LCM and HCF of the following integers by applying the prime factorization method.

(i) 12, 15 and 21

(ii) 17, 23 and 29

(iii) 8, 9 and 25

(iv) 40, 36 and 126

(v) 84, 90 and 12

(vi) 24, 15 and 36

Can two numbers have 16 as their HCF and 380 as their LCM? Give reason.

The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other.