Least Common Multiple of 22/540, 5256/4958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/540, 5256/4958 quickly i.e. 28908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/540, 5256/4958 is 28908.

LCM(22/540, 5256/4958) = 28908

LCM of 22/540, 5256/4958

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 22/540,5256/4958

Given numbers are 22/540,5256/4958

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 22,5256

Least Common Multiple of Numerators i.e. LCM of 22,5256 is 57816.

GCF of Denominators means GCF of 540,4958 as per the given fractions.

GCF of 540,4958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,5256

LCM of Fractions 22/540,5256/4958 is 28908

2 22, 5256
11, 2628

∴ So the LCM of the given numbers is 2 x 11 x 2628 = 57816

Least Common Multiple of 22,5256 with GCF Formula

Least Common Multiple of 22,5256 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 22,5256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,5256) = 2

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

GCF(22,5256) x common factors =2 x 1 = 2

LCM(22,5256) = ( 22 × 5256 ) / 2

LCM(22,5256) = 115632 / 2

LCM(22,5256) = 57816


Lets's calculate GCF of 540,4958

2 540, 4958
270, 2479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57816/2

Therefore the LCM of Fractions 22/540,5256/4958 is 28908

Greatest Common Factor of 540,4958 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,4958 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 4958

List of positive integer factors of 4958 that divides 4958 without a remainder.

1,2,37,67,74,134,2479,4958

Greatest Common Factor

We found the factors 540,4958 . The biggest common factor number is the GCF number.
So the greatest common factor 540,4958 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 22/540, 5256/4958

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 22/540, 5256/4958?

Answer: LCM of Numerators as per given numbers 22/540, 5256/4958 is

LCM of Numerators i.e. for 22,5256 is 57816

GCF of denominators i.e. for 540,4958 is 2.

Thus, LCM of Fractions is 28908.Finally, LCM of Fractions for 22/540, 5256/4958 is 28908.