Question

Find the sets of two numbers whose lcm is 720 and hcf is 24

Answer 1

Step-by-step explanation:

Given :

HCF = 24

LCM = 720

To Find :

Sets of two numbers

Solution:

We know that,

LCM x HCF = PRODUCT OF THE TWO NUMBERS

So, 24 x 720 = product of the two numbers

or, product of the two numbers

= (2x2x2x3)x(2x2x2x2x3x3x5)

So, the required sets of the numbers will be the different combinations of the factors of above product.

Examples :

2 and 2x2x2x2x2x2x3x3x3x5

2x2 and 2x2x2x2x2x3x3x3x5

2x2x2 and 2x2x2x2x3x3x3x5

2x2x2x2 and 2x2x2x3x3x3x5

2x2x2x2x2 and 2x2x3x3x3x5 and so on..

.

.

2x2x2x2x2x2x2x3x3x3 and 5 .

Thanks

Answer 2

$2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3$

and 5