Least Common Multiple of 9940/562, 4538/2746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9940/562, 4538/2746 quickly i.e. 11276930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9940/562, 4538/2746 is 11276930.

LCM(9940/562, 4538/2746) = 11276930

LCM of 9940/562, 4538/2746

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 9940/562,4538/2746

Given numbers are 9940/562,4538/2746

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 9940,4538

Least Common Multiple of Numerators i.e. LCM of 9940,4538 is 22553860.

GCF of Denominators means GCF of 562,2746 as per the given fractions.

GCF of 562,2746 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9940,4538

LCM of Fractions 9940/562,4538/2746 is 11276930

2 9940, 4538
4970, 2269

∴ So the LCM of the given numbers is 2 x 4970 x 2269 = 22553860

Least Common Multiple of 9940,4538 with GCF Formula

Least Common Multiple of 9940,4538 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 9940,4538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9940,4538) = 2

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

GCF(9940,4538) x common factors =2 x 1 = 2

LCM(9940,4538) = ( 9940 × 4538 ) / 2

LCM(9940,4538) = 45107720 / 2

LCM(9940,4538) = 22553860


Lets's calculate GCF of 562,2746

2 562, 2746
281, 1373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22553860/2

Therefore the LCM of Fractions 9940/562,4538/2746 is 11276930

Greatest Common Factor of 562,2746 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,2746 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 2746

List of positive integer factors of 2746 that divides 2746 without a remainder.

1,2,1373,2746

Greatest Common Factor

We found the factors 562,2746 . The biggest common factor number is the GCF number.
So the greatest common factor 562,2746 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 9940/562, 4538/2746

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 9940/562, 4538/2746?

Answer: LCM of Numerators as per given numbers 9940/562, 4538/2746 is

LCM of Numerators i.e. for 9940,4538 is 22553860

GCF of denominators i.e. for 562,2746 is 2.

Thus, LCM of Fractions is 11276930.Finally, LCM of Fractions for 9940/562, 4538/2746 is 11276930.