HCF and LCM Relation
The followings are the relation between HCF and LCM. Go through the relation between HCF and LCM, solve the problem using the relations in an easy way.
(i) The product of LCM and HCF of the given natural numbers is equivalent to the product of the given numbers.
From the given property, LCM × HCF of a number = Product of the Numbers
Consider two numbers A and B, then.
Therefore,LCM (A , B) × HCF (A , B) = A × B
Example 1: Show that the LCM (6, 15) × HCF (6, 15) = Product(6, 15)
Solution: LCM and HCF of 6 and 15:
6 = 2 × 3
15 = 3 x 5
LCM of 6 and 15 = 30
HCF of 6 and 15 = 3
LCM (6, 15) × HCF (6, 15) = 30 × 3 = 90
Product of 6 and 15 = 6 × 15 = 90
Hence, LCM (6, 15) × HCF (6, 15)=Product(6, 15) = 90
Click Here to get the Video Link of L.C.M. By Lalit Sir
