Least Common Multiple of 98/861, 123/369, 611/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/861, 123/369, 611/540 quickly i.e. 2454998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/861, 123/369, 611/540 is 2454998.

LCM(98/861, 123/369, 611/540) = 2454998

LCM of 98/861, 123/369, 611/540

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 98/861,123/369,611/540

Given numbers are 98/861,123/369,611/540

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 98,123,611

Least Common Multiple of Numerators i.e. LCM of 98,123,611 is 7364994.

GCF of Denominators means GCF of 861,369,540 as per the given fractions.

GCF of 861,369,540 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,123,611

LCM of Fractions 98/861,123/369,611/540 is 2454998

Given numbers has no common factors except 1. So, there LCM is their product i.e 7364994

Least Common Multiple of 98,123,611 with GCF Formula

Least Common Multiple of 98,123,611 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 98,123,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,123,611) = 1

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

GCF(98,123,611) x common factors =1 x 1 = 1

LCM(98,123,611) = ( 98 × 123 × 611 ) / 1

LCM(98,123,611) = 7364994 / 1

LCM(98,123,611) = 7364994


Lets's calculate GCF of 861,369,540

3 861, 369, 540
287, 123, 180

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7364994/3

Therefore the LCM of Fractions 98/861,123/369,611/540 is 2454998

Greatest Common Factor of 861,369,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,369,540 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

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

Greatest Common Factor

We found the factors 861,369,540 . The biggest common factor number is the GCF number.
So the greatest common factor 861,369,540 is 3.


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 98/861, 123/369, 611/540

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 98/861, 123/369, 611/540?

Answer: LCM of Numerators as per given numbers 98/861, 123/369, 611/540 is

LCM of Numerators i.e. for 98,123,611 is 7364994

GCF of denominators i.e. for 861,369,540 is 3.

Thus, LCM of Fractions is 2454998.Finally, LCM of Fractions for 98/861, 123/369, 611/540 is 2454998.