Least Common Multiple of 88/316, 4542/7576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/316, 4542/7576 quickly i.e. 49962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/316, 4542/7576 is 49962.

LCM(88/316, 4542/7576) = 49962

LCM of 88/316, 4542/7576

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 88/316,4542/7576

Given numbers are 88/316,4542/7576

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 88,4542

Least Common Multiple of Numerators i.e. LCM of 88,4542 is 199848.

GCF of Denominators means GCF of 316,7576 as per the given fractions.

GCF of 316,7576 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,4542

LCM of Fractions 88/316,4542/7576 is 49962

2 88, 4542
44, 2271

∴ So the LCM of the given numbers is 2 x 44 x 2271 = 199848

Least Common Multiple of 88,4542 with GCF Formula

Least Common Multiple of 88,4542 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 88,4542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,4542) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(88,4542) x common factors =2 x 1 = 2

LCM(88,4542) = ( 88 × 4542 ) / 2

LCM(88,4542) = 399696 / 2

LCM(88,4542) = 199848


Lets's calculate GCF of 316,7576

2 316, 7576
2 158, 3788
79, 1894

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199848/4

Therefore the LCM of Fractions 88/316,4542/7576 is 49962

Greatest Common Factor of 316,7576 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,7576 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 7576

List of positive integer factors of 7576 that divides 7576 without a remainder.

1,2,4,8,947,1894,3788,7576

Greatest Common Factor

We found the factors 316,7576 . The biggest common factor number is the GCF number.
So the greatest common factor 316,7576 is 4.


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Frequently Asked Questions on Fractional LCM of 88/316, 4542/7576

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 88/316, 4542/7576?

Answer: LCM of Numerators as per given numbers 88/316, 4542/7576 is

LCM of Numerators i.e. for 88,4542 is 199848

GCF of denominators i.e. for 316,7576 is 4.

Thus, LCM of Fractions is 49962.Finally, LCM of Fractions for 88/316, 4542/7576 is 49962.