Least Common Multiple of 57/65, 26/72, 95/37, 77/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 57/65, 26/72, 95/37, 77/731 quickly i.e. 570570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/65, 26/72, 95/37, 77/731 is 570570.

LCM(57/65, 26/72, 95/37, 77/731) = 570570

LCM of 57/65, 26/72, 95/37, 77/731

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 57/65,26/72,95/37,77/731

Given numbers are 57/65,26/72,95/37,77/731

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 57,26,95,77

Least Common Multiple of Numerators i.e. LCM of 57,26,95,77 is 570570.

GCF of Denominators means GCF of 65,72,37,731 as per the given fractions.

GCF of 65,72,37,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,26,95,77

LCM of Fractions 57/65,26/72,95/37,77/731 is 570570

19 57, 26, 95, 77
3, 26, 5, 77

∴ So the LCM of the given numbers is 19 x 3 x 26 x 5 x 77 = 570570

Least Common Multiple of 57,26,95,77 with GCF Formula

Least Common Multiple of 57,26,95,77 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 57,26,95,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,26,95,77) = 1

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

GCF(57,26,95,77) x common factors =1 x 19 = 19

LCM(57,26,95,77) = ( 57 × 26 × 95 × 77 ) / 19

LCM(57,26,95,77) = 10840830 / 19

LCM(57,26,95,77) = 570570


Lets's calculate GCF of 65,72,37,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 570570/1

Therefore the LCM of Fractions 57/65,26/72,95/37,77/731 is 570570

Greatest Common Factor of 65,72,37,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,72,37,731 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 65,72,37,731 . The biggest common factor number is the GCF number.
So the greatest common factor 65,72,37,731 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 57/65, 26/72, 95/37, 77/731

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 57/65, 26/72, 95/37, 77/731?

Answer: LCM of Numerators as per given numbers 57/65, 26/72, 95/37, 77/731 is

LCM of Numerators i.e. for 57,26,95,77 is 570570

GCF of denominators i.e. for 65,72,37,731 is 1.

Thus, LCM of Fractions is 570570.Finally, LCM of Fractions for 57/65, 26/72, 95/37, 77/731 is 570570.