Least Common Multiple of 298/52, 389/2626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 298/52, 389/2626 quickly i.e. 115922/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 298/52, 389/2626 is 115922/26.

LCM(298/52, 389/2626) = 115922/26

LCM of 298/52, 389/2626

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 298/52,389/2626

Given numbers are 298/52,389/2626

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 298,389

Least Common Multiple of Numerators i.e. LCM of 298,389 is 115922.

GCF of Denominators means GCF of 52,2626 as per the given fractions.

GCF of 52,2626 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 298,389

LCM of Fractions 298/52,389/2626 is 115922/26

Given numbers has no common factors except 1. So, there LCM is their product i.e 115922

Least Common Multiple of 298,389 with GCF Formula

Least Common Multiple of 298,389 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 298,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,389) = 1

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

GCF(298,389) x common factors =1 x 1 = 1

LCM(298,389) = ( 298 × 389 ) / 1

LCM(298,389) = 115922 / 1

LCM(298,389) = 115922


Lets's calculate GCF of 52,2626

2 52, 2626
13 26, 1313
2, 101

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115922/26

Therefore the LCM of Fractions 298/52,389/2626 is 115922/26

Greatest Common Factor of 52,2626 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,2626 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 2626

List of positive integer factors of 2626 that divides 2626 without a remainder.

1,2,13,26,101,202,1313,2626

Greatest Common Factor

We found the factors 52,2626 . The biggest common factor number is the GCF number.
So the greatest common factor 52,2626 is 26.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 298/52, 389/2626

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 298/52, 389/2626?

Answer: LCM of Numerators as per given numbers 298/52, 389/2626 is

LCM of Numerators i.e. for 298,389 is 115922

GCF of denominators i.e. for 52,2626 is 26.

Thus, LCM of Fractions is 115922/26.Finally, LCM of Fractions for 298/52, 389/2626 is 115922/26.