Least Common Multiple of 44/422, 6118/5634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/422, 6118/5634 quickly i.e. 67298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/422, 6118/5634 is 67298.

LCM(44/422, 6118/5634) = 67298

LCM of 44/422, 6118/5634

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 44/422,6118/5634

Given numbers are 44/422,6118/5634

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 44,6118

Least Common Multiple of Numerators i.e. LCM of 44,6118 is 134596.

GCF of Denominators means GCF of 422,5634 as per the given fractions.

GCF of 422,5634 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,6118

LCM of Fractions 44/422,6118/5634 is 67298

2 44, 6118
22, 3059

∴ So the LCM of the given numbers is 2 x 22 x 3059 = 134596

Least Common Multiple of 44,6118 with GCF Formula

Least Common Multiple of 44,6118 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 44,6118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,6118) = 2

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

GCF(44,6118) x common factors =2 x 1 = 2

LCM(44,6118) = ( 44 × 6118 ) / 2

LCM(44,6118) = 269192 / 2

LCM(44,6118) = 134596


Lets's calculate GCF of 422,5634

2 422, 5634
211, 2817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134596/2

Therefore the LCM of Fractions 44/422,6118/5634 is 67298

Greatest Common Factor of 422,5634 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,5634 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 5634

List of positive integer factors of 5634 that divides 5634 without a remainder.

1,2,3,6,9,18,313,626,939,1878,2817,5634

Greatest Common Factor

We found the factors 422,5634 . The biggest common factor number is the GCF number.
So the greatest common factor 422,5634 is 2.


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Frequently Asked Questions on Fractional LCM of 44/422, 6118/5634

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 44/422, 6118/5634?

Answer: LCM of Numerators as per given numbers 44/422, 6118/5634 is

LCM of Numerators i.e. for 44,6118 is 134596

GCF of denominators i.e. for 422,5634 is 2.

Thus, LCM of Fractions is 67298.Finally, LCM of Fractions for 44/422, 6118/5634 is 67298.