Least Common Multiple of 57/38, 263/13, 479/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 57/38, 263/13, 479/731 quickly i.e. 7180689 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/38, 263/13, 479/731 is 7180689.

LCM(57/38, 263/13, 479/731) = 7180689

LCM of 57/38, 263/13, 479/731

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 57/38,263/13,479/731

Given numbers are 57/38,263/13,479/731

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 57,263,479

Least Common Multiple of Numerators i.e. LCM of 57,263,479 is 7180689.

GCF of Denominators means GCF of 38,13,731 as per the given fractions.

GCF of 38,13,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,263,479

LCM of Fractions 57/38,263/13,479/731 is 7180689

Given numbers has no common factors except 1. So, there LCM is their product i.e 7180689

Least Common Multiple of 57,263,479 with GCF Formula

Least Common Multiple of 57,263,479 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 57,263,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,263,479) = 1

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

GCF(57,263,479) x common factors =1 x 1 = 1

LCM(57,263,479) = ( 57 × 263 × 479 ) / 1

LCM(57,263,479) = 7180689 / 1

LCM(57,263,479) = 7180689


Lets's calculate GCF of 38,13,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7180689/1

Therefore the LCM of Fractions 57/38,263/13,479/731 is 7180689

Greatest Common Factor of 38,13,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,13,731 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

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 38,13,731 . The biggest common factor number is the GCF number.
So the greatest common factor 38,13,731 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 57/38, 263/13, 479/731

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 57/38, 263/13, 479/731?

Answer: LCM of Numerators as per given numbers 57/38, 263/13, 479/731 is

LCM of Numerators i.e. for 57,263,479 is 7180689

GCF of denominators i.e. for 38,13,731 is 1.

Thus, LCM of Fractions is 7180689.Finally, LCM of Fractions for 57/38, 263/13, 479/731 is 7180689.