Math, asked by Aanya123lol, 9 months ago

Two numbers N and 16 have LCM = 48 and GCF = 8. Find N.

Answers

Answered by vishwa2020
9

Answer:

(LCM×HCF)=(1st number×2nd number)

(48×8) =(N×16)

384 = 16N

N =384/16

N =24

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Answered by syed2020ashaels
1

The given question is

Two numbers N and 16 have LCM = 48 and GCF = 8

we have to find the value of N

As we know that the product of LCM and GCD is equal to the product of two numbers.

The LCM of two numbers is 48.

The GCD of two numbers is 8

One of the number is 16.

The other number is N. we have to find the value of N.

n \times 16 = 8 \times 48 \\ n =  \frac{8 \times 48}{16}  \\ n = 8 \times 3 \:  \:  \:  \:  \:  \:  \:  \: as16 \times 3 = 48 \\ so \:  \:  \: n = 8 \times 3 = 24

Therefore, the value of N is 24.

let's verify

24 \times 16 = 8 \times 48

384 = 384

Hence verified

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