Least Common Multiple of 87/722, 52/246, 813/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/722, 52/246, 813/715 quickly i.e. 1226004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/722, 52/246, 813/715 is 1226004.

LCM(87/722, 52/246, 813/715) = 1226004

LCM of 87/722, 52/246, 813/715

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 87/722,52/246,813/715

Given numbers are 87/722,52/246,813/715

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 87,52,813

Least Common Multiple of Numerators i.e. LCM of 87,52,813 is 1226004.

GCF of Denominators means GCF of 722,246,715 as per the given fractions.

GCF of 722,246,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,52,813

LCM of Fractions 87/722,52/246,813/715 is 1226004

3 87, 52, 813
29, 52, 271

∴ So the LCM of the given numbers is 3 x 29 x 52 x 271 = 1226004

Least Common Multiple of 87,52,813 with GCF Formula

Least Common Multiple of 87,52,813 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 87,52,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,52,813) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,52,813) x common factors =1 x 3 = 3

LCM(87,52,813) = ( 87 × 52 × 813 ) / 3

LCM(87,52,813) = 3678012 / 3

LCM(87,52,813) = 1226004


Lets's calculate GCF of 722,246,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1226004/1

Therefore the LCM of Fractions 87/722,52/246,813/715 is 1226004

Greatest Common Factor of 722,246,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,246,715 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 722,246,715 . The biggest common factor number is the GCF number.
So the greatest common factor 722,246,715 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 87/722, 52/246, 813/715

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 87/722, 52/246, 813/715?

Answer: LCM of Numerators as per given numbers 87/722, 52/246, 813/715 is

LCM of Numerators i.e. for 87,52,813 is 1226004

GCF of denominators i.e. for 722,246,715 is 1.

Thus, LCM of Fractions is 1226004.Finally, LCM of Fractions for 87/722, 52/246, 813/715 is 1226004.