Q4 of 124 Page 1

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

NO

LCM should be divisible by HCF since HCF is the common factor of both the numbers. But, in this case 380 is not divisible by 16 therefore, the two numbers are not possible which have 16 as their HCF and 380 as their LCM


More from this chapter

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2

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

 3

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

 5

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

 6

The HCF of two numbers is 16 and their product is 3072. Find their LCM.