write the relation between Hcf andLcm
Answers
Step-by-step explanation:
We will learn the relationship between H.C.F. and L.C.M. of two numbers.
First we need to find the highest common factor (H.C.F.) of 15 and 18 which is 3.
Then we need to find the lowest common multiple (L.C.M.) of 15 and 18 which is 90.
H.C.F. × L.C.M. = 3 × 90 = 270
Also 15 × 18 = 270
Therefore, product of H.C.F. and L.C.M. of 15 and 18 = product of 15 and 18.
So, from the above explanation we conclude that the product of highest common factor (H.C.F.) and lowest common multiple (L.C.M.) of two numbers is equal to the product of two numbers
or, H.C.F. × L.C.M. = First number × Second number
or, L.C.M. = First number × Second number/ H.C.F.
Answer:
Relation between HCF and LCM
There is an interesting co- relation between HCF and LCM of two numbers. The product of the HCF and LCM of any two numbers is always equal to the product of those two numbers. However the same is not applicable to three or more numbers.