Question

HCF of (15,18) when multiplied by the LCM of (15,18) gives product _______

Answer 1

Answer:

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 the product of numbers = 15 × 18 = 270

Therefore, product of H.C.F. and L.C.M. of 15 and 18 = product of 15 and 18.

Answer 2

If two numbers are 15 and 18, their product is 15x18 = 270 and so is the product of their HCF and LCM.

Let us see whether it is so.

The factors are

15 = 3x5

18 = 2x3x3

HCF = 3

LCM = 2x3x3x5 = 90

Now HCF * LCM = 3 *90 = 270.

Proved.