Question

H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 24 x 35 x 52 x 72 . What is the third number?
A) 47628
B) 49874
C) 24157
D) 42146

Answer 1

H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 24 x 35 x 52 x 72 . What is the third number?
A) 47628
B) 49874
C) 24157
D) 42146

Answer: A) 47628

Explanation:

3600=2^4*3^2*5^2
32 40=2^2*3^4*5

H.C.F =36=2^2 *3^2

Since H.C.F is the product of lowest power of common Factor , so the third Number must have (2^2 *3^2) as it`s factor .

Since L.C.M is the Product of Highest power of Common Prime Factor , So the Third number must have 3^5 and 7^2 as it`s factor .Therefore , Third number

=2^2*3^5*7^2

= 4 × 243 × 49

= 47628

Answer 2

Heyy mate ❤✌✌❤

Here's your Answer...

3600=2^4*3^2*5^2
32 40=2^2*3^4*5

H.C.F =36=2^2 *3^2

Since H.C.F is the product of lowest power of common Factor , so the third Number must have (2^2 *3^2) as it`s factor .

Since L.C.M is the Product of Highest power of Common Prime Factor , So the Third number must have 3^5 and 7^2 as it`s factor .Therefore , Third number

=2^2*3^5*7^2

= 4 × 243 × 49

= 47628
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