Least Common Multiple of 22/424, 4946/5307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/424, 4946/5307 quickly i.e. 54406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/424, 4946/5307 is 54406.

LCM(22/424, 4946/5307) = 54406

LCM of 22/424, 4946/5307

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 22/424,4946/5307

Given numbers are 22/424,4946/5307

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 22,4946

Least Common Multiple of Numerators i.e. LCM of 22,4946 is 54406.

GCF of Denominators means GCF of 424,5307 as per the given fractions.

GCF of 424,5307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,4946

LCM of Fractions 22/424,4946/5307 is 54406

2 22, 4946
11, 2473

∴ So the LCM of the given numbers is 2 x 11 x 2473 = 54406

Least Common Multiple of 22,4946 with GCF Formula

Least Common Multiple of 22,4946 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 22,4946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,4946) = 2

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

GCF(22,4946) x common factors =2 x 1 = 2

LCM(22,4946) = ( 22 × 4946 ) / 2

LCM(22,4946) = 108812 / 2

LCM(22,4946) = 54406


Lets's calculate GCF of 424,5307

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54406/1

Therefore the LCM of Fractions 22/424,4946/5307 is 54406

Greatest Common Factor of 424,5307 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,5307 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 5307

List of positive integer factors of 5307 that divides 5307 without a remainder.

1,3,29,61,87,183,1769,5307

Greatest Common Factor

We found the factors 424,5307 . The biggest common factor number is the GCF number.
So the greatest common factor 424,5307 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 22/424, 4946/5307

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 22/424, 4946/5307?

Answer: LCM of Numerators as per given numbers 22/424, 4946/5307 is

LCM of Numerators i.e. for 22,4946 is 54406

GCF of denominators i.e. for 424,5307 is 1.

Thus, LCM of Fractions is 54406.Finally, LCM of Fractions for 22/424, 4946/5307 is 54406.