Least Common Multiple of 5640/338, 5626/7194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5640/338, 5626/7194 quickly i.e. 7932660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5640/338, 5626/7194 is 7932660.

LCM(5640/338, 5626/7194) = 7932660

LCM of 5640/338, 5626/7194

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 5640/338,5626/7194

Given numbers are 5640/338,5626/7194

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 5640,5626

Least Common Multiple of Numerators i.e. LCM of 5640,5626 is 15865320.

GCF of Denominators means GCF of 338,7194 as per the given fractions.

GCF of 338,7194 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5640,5626

LCM of Fractions 5640/338,5626/7194 is 7932660

2 5640, 5626
2820, 2813

∴ So the LCM of the given numbers is 2 x 2820 x 2813 = 15865320

Least Common Multiple of 5640,5626 with GCF Formula

Least Common Multiple of 5640,5626 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 5640,5626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5640,5626) = 2

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

GCF(5640,5626) x common factors =2 x 1 = 2

LCM(5640,5626) = ( 5640 × 5626 ) / 2

LCM(5640,5626) = 31730640 / 2

LCM(5640,5626) = 15865320


Lets's calculate GCF of 338,7194

2 338, 7194
169, 3597

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15865320/2

Therefore the LCM of Fractions 5640/338,5626/7194 is 7932660

Greatest Common Factor of 338,7194 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,7194 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 7194

List of positive integer factors of 7194 that divides 7194 without a remainder.

1,2,3,6,11,22,33,66,109,218,327,654,1199,2398,3597,7194

Greatest Common Factor

We found the factors 338,7194 . The biggest common factor number is the GCF number.
So the greatest common factor 338,7194 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 5640/338, 5626/7194

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 5640/338, 5626/7194?

Answer: LCM of Numerators as per given numbers 5640/338, 5626/7194 is

LCM of Numerators i.e. for 5640,5626 is 15865320

GCF of denominators i.e. for 338,7194 is 2.

Thus, LCM of Fractions is 7932660.Finally, LCM of Fractions for 5640/338, 5626/7194 is 7932660.