Least Common Multiple of 957/494, 2118/1529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 957/494, 2118/1529 quickly i.e. 675642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 957/494, 2118/1529 is 675642.

LCM(957/494, 2118/1529) = 675642

LCM of 957/494, 2118/1529

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 957/494,2118/1529

Given numbers are 957/494,2118/1529

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 957,2118

Least Common Multiple of Numerators i.e. LCM of 957,2118 is 675642.

GCF of Denominators means GCF of 494,1529 as per the given fractions.

GCF of 494,1529 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 957,2118

LCM of Fractions 957/494,2118/1529 is 675642

3 957, 2118
319, 706

∴ So the LCM of the given numbers is 3 x 319 x 706 = 675642

Least Common Multiple of 957,2118 with GCF Formula

Least Common Multiple of 957,2118 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 957,2118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(957,2118) = 3

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

GCF(957,2118) x common factors =3 x 1 = 3

LCM(957,2118) = ( 957 × 2118 ) / 3

LCM(957,2118) = 2026926 / 3

LCM(957,2118) = 675642


Lets's calculate GCF of 494,1529

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 675642/1

Therefore the LCM of Fractions 957/494,2118/1529 is 675642

Greatest Common Factor of 494,1529 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,1529 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 1529

List of positive integer factors of 1529 that divides 1529 without a remainder.

1,11,139,1529

Greatest Common Factor

We found the factors 494,1529 . The biggest common factor number is the GCF number.
So the greatest common factor 494,1529 is 1.


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 957/494, 2118/1529

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 957/494, 2118/1529?

Answer: LCM of Numerators as per given numbers 957/494, 2118/1529 is

LCM of Numerators i.e. for 957,2118 is 675642

GCF of denominators i.e. for 494,1529 is 1.

Thus, LCM of Fractions is 675642.Finally, LCM of Fractions for 957/494, 2118/1529 is 675642.