Least Common Multiple of 57/31, 50/716, 594/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/31, 50/716, 594/775 quickly i.e. 282150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/31, 50/716, 594/775 is 282150.

LCM(57/31, 50/716, 594/775) = 282150

LCM of 57/31, 50/716, 594/775

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 57/31,50/716,594/775

Given numbers are 57/31,50/716,594/775

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 57,50,594

Least Common Multiple of Numerators i.e. LCM of 57,50,594 is 282150.

GCF of Denominators means GCF of 31,716,775 as per the given fractions.

GCF of 31,716,775 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,50,594

LCM of Fractions 57/31,50/716,594/775 is 282150

2 57, 50, 594
3 57, 25, 297
19, 25, 99

∴ So the LCM of the given numbers is 2 x 3 x 19 x 25 x 99 = 282150

Least Common Multiple of 57,50,594 with GCF Formula

Least Common Multiple of 57,50,594 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 57,50,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,50,594) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(57,50,594) x common factors =1 x 6 = 6

LCM(57,50,594) = ( 57 × 50 × 594 ) / 6

LCM(57,50,594) = 1692900 / 6

LCM(57,50,594) = 282150


Lets's calculate GCF of 31,716,775

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 282150/1

Therefore the LCM of Fractions 57/31,50/716,594/775 is 282150

Greatest Common Factor of 31,716,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,716,775 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 31,716,775 . The biggest common factor number is the GCF number.
So the greatest common factor 31,716,775 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 57/31, 50/716, 594/775

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 57/31, 50/716, 594/775?

Answer: LCM of Numerators as per given numbers 57/31, 50/716, 594/775 is

LCM of Numerators i.e. for 57,50,594 is 282150

GCF of denominators i.e. for 31,716,775 is 1.

Thus, LCM of Fractions is 282150.Finally, LCM of Fractions for 57/31, 50/716, 594/775 is 282150.