Question

# If HCF of two numbers is 6 and lcm of two same two numbers is 72.Find the numbere

Solution

## LCM×HCF=Product of two numbers Since their HCF is 6, let the numbers be 6m and 6n Now apply the formula. (Also note that m and n are coprime, i.e. gcd(m,n)=1 You'll get : 6m×6n=6×72⟹mn=12  ; m,n∈N  Now the possible unordered pairs of (m,n)are : (1,12);(2,6);(3,4) Out of which only the pair (3,4) is coprime. Hence, the numbers are : 18 and 24 Mathematics

Suggest Corrections

0

Similar questions
View More