Least Common Multiple of 312/500, 6010/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/500, 6010/866 quickly i.e. 468780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/500, 6010/866 is 468780.

LCM(312/500, 6010/866) = 468780

LCM of 312/500, 6010/866

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 312/500,6010/866

Given numbers are 312/500,6010/866

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 312,6010

Least Common Multiple of Numerators i.e. LCM of 312,6010 is 937560.

GCF of Denominators means GCF of 500,866 as per the given fractions.

GCF of 500,866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,6010

LCM of Fractions 312/500,6010/866 is 468780

2 312, 6010
156, 3005

∴ So the LCM of the given numbers is 2 x 156 x 3005 = 937560

Least Common Multiple of 312,6010 with GCF Formula

Least Common Multiple of 312,6010 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 312,6010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,6010) = 2

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

GCF(312,6010) x common factors =2 x 1 = 2

LCM(312,6010) = ( 312 × 6010 ) / 2

LCM(312,6010) = 1875120 / 2

LCM(312,6010) = 937560


Lets's calculate GCF of 500,866

2 500, 866
250, 433

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 937560/2

Therefore the LCM of Fractions 312/500,6010/866 is 468780

Greatest Common Factor of 500,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,866 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 500,866 . The biggest common factor number is the GCF number.
So the greatest common factor 500,866 is 2.


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 312/500, 6010/866

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 312/500, 6010/866?

Answer: LCM of Numerators as per given numbers 312/500, 6010/866 is

LCM of Numerators i.e. for 312,6010 is 937560

GCF of denominators i.e. for 500,866 is 2.

Thus, LCM of Fractions is 468780.Finally, LCM of Fractions for 312/500, 6010/866 is 468780.