Least Common Multiple of 79/298, 2538/7546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/298, 2538/7546 quickly i.e. 100251 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/298, 2538/7546 is 100251.

LCM(79/298, 2538/7546) = 100251

LCM of 79/298, 2538/7546

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 79/298,2538/7546

Given numbers are 79/298,2538/7546

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 79,2538

Least Common Multiple of Numerators i.e. LCM of 79,2538 is 200502.

GCF of Denominators means GCF of 298,7546 as per the given fractions.

GCF of 298,7546 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,2538

LCM of Fractions 79/298,2538/7546 is 100251

Given numbers has no common factors except 1. So, there LCM is their product i.e 200502

Least Common Multiple of 79,2538 with GCF Formula

Least Common Multiple of 79,2538 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 79,2538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,2538) = 1

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

GCF(79,2538) x common factors =1 x 1 = 1

LCM(79,2538) = ( 79 × 2538 ) / 1

LCM(79,2538) = 200502 / 1

LCM(79,2538) = 200502


Lets's calculate GCF of 298,7546

2 298, 7546
149, 3773

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200502/2

Therefore the LCM of Fractions 79/298,2538/7546 is 100251

Greatest Common Factor of 298,7546 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,7546 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 7546

List of positive integer factors of 7546 that divides 7546 without a remainder.

1,2,7,11,14,22,49,77,98,154,343,539,686,1078,3773,7546

Greatest Common Factor

We found the factors 298,7546 . The biggest common factor number is the GCF number.
So the greatest common factor 298,7546 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 79/298, 2538/7546

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 79/298, 2538/7546?

Answer: LCM of Numerators as per given numbers 79/298, 2538/7546 is

LCM of Numerators i.e. for 79,2538 is 200502

GCF of denominators i.e. for 298,7546 is 2.

Thus, LCM of Fractions is 100251.Finally, LCM of Fractions for 79/298, 2538/7546 is 100251.