Least Common Multiple of 57/351, 790/794, 931/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/351, 790/794, 931/932 quickly i.e. 2206470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/351, 790/794, 931/932 is 2206470.

LCM(57/351, 790/794, 931/932) = 2206470

LCM of 57/351, 790/794, 931/932

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 57/351,790/794,931/932

Given numbers are 57/351,790/794,931/932

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 57,790,931

Least Common Multiple of Numerators i.e. LCM of 57,790,931 is 2206470.

GCF of Denominators means GCF of 351,794,932 as per the given fractions.

GCF of 351,794,932 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,790,931

LCM of Fractions 57/351,790/794,931/932 is 2206470

19 57, 790, 931
3, 790, 49

∴ So the LCM of the given numbers is 19 x 3 x 790 x 49 = 2206470

Least Common Multiple of 57,790,931 with GCF Formula

Least Common Multiple of 57,790,931 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 57,790,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,790,931) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(57,790,931) x common factors =1 x 19 = 19

LCM(57,790,931) = ( 57 × 790 × 931 ) / 19

LCM(57,790,931) = 41922930 / 19

LCM(57,790,931) = 2206470


Lets's calculate GCF of 351,794,932

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2206470/1

Therefore the LCM of Fractions 57/351,790/794,931/932 is 2206470

Greatest Common Factor of 351,794,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,794,932 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 351,794,932 . The biggest common factor number is the GCF number.
So the greatest common factor 351,794,932 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 57/351, 790/794, 931/932

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 57/351, 790/794, 931/932?

Answer: LCM of Numerators as per given numbers 57/351, 790/794, 931/932 is

LCM of Numerators i.e. for 57,790,931 is 2206470

GCF of denominators i.e. for 351,794,932 is 1.

Thus, LCM of Fractions is 2206470.Finally, LCM of Fractions for 57/351, 790/794, 931/932 is 2206470.