Least Common Multiple of 310/57, 960/5739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 310/57, 960/5739 quickly i.e. 9920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/57, 960/5739 is 9920.

LCM(310/57, 960/5739) = 9920

LCM of 310/57, 960/5739

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 310/57,960/5739

Given numbers are 310/57,960/5739

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 310,960

Least Common Multiple of Numerators i.e. LCM of 310,960 is 29760.

GCF of Denominators means GCF of 57,5739 as per the given fractions.

GCF of 57,5739 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,960

LCM of Fractions 310/57,960/5739 is 9920

2 310, 960
5 155, 480
31, 96

∴ So the LCM of the given numbers is 2 x 5 x 31 x 96 = 29760

Least Common Multiple of 310,960 with GCF Formula

Least Common Multiple of 310,960 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 310,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,960) = 10

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

GCF(310,960) x common factors =10 x 1 = 10

LCM(310,960) = ( 310 × 960 ) / 10

LCM(310,960) = 297600 / 10

LCM(310,960) = 29760


Lets's calculate GCF of 57,5739

3 57, 5739
19, 1913

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29760/3

Therefore the LCM of Fractions 310/57,960/5739 is 9920

Greatest Common Factor of 57,5739 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,5739 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 5739

List of positive integer factors of 5739 that divides 5739 without a remainder.

1,3,1913,5739

Greatest Common Factor

We found the factors 57,5739 . The biggest common factor number is the GCF number.
So the greatest common factor 57,5739 is 3.


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 310/57, 960/5739

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 310/57, 960/5739?

Answer: LCM of Numerators as per given numbers 310/57, 960/5739 is

LCM of Numerators i.e. for 310,960 is 29760

GCF of denominators i.e. for 57,5739 is 3.

Thus, LCM of Fractions is 9920.Finally, LCM of Fractions for 310/57, 960/5739 is 9920.