Least Common Multiple of 8715/276, 8764/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8715/276, 8764/520 quickly i.e. 2727795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8715/276, 8764/520 is 2727795.

LCM(8715/276, 8764/520) = 2727795

LCM of 8715/276, 8764/520

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 8715/276,8764/520

Given numbers are 8715/276,8764/520

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 8715,8764

Least Common Multiple of Numerators i.e. LCM of 8715,8764 is 10911180.

GCF of Denominators means GCF of 276,520 as per the given fractions.

GCF of 276,520 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8715,8764

LCM of Fractions 8715/276,8764/520 is 2727795

7 8715, 8764
1245, 1252

∴ So the LCM of the given numbers is 7 x 1245 x 1252 = 10911180

Least Common Multiple of 8715,8764 with GCF Formula

Least Common Multiple of 8715,8764 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 8715,8764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8715,8764) = 7

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

GCF(8715,8764) x common factors =7 x 1 = 7

LCM(8715,8764) = ( 8715 × 8764 ) / 7

LCM(8715,8764) = 76378260 / 7

LCM(8715,8764) = 10911180


Lets's calculate GCF of 276,520

2 276, 520
2 138, 260
69, 130

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10911180/4

Therefore the LCM of Fractions 8715/276,8764/520 is 2727795

Greatest Common Factor of 276,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,520 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 276,520 . The biggest common factor number is the GCF number.
So the greatest common factor 276,520 is 4.


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 8715/276, 8764/520

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 8715/276, 8764/520?

Answer: LCM of Numerators as per given numbers 8715/276, 8764/520 is

LCM of Numerators i.e. for 8715,8764 is 10911180

GCF of denominators i.e. for 276,520 is 4.

Thus, LCM of Fractions is 2727795.Finally, LCM of Fractions for 8715/276, 8764/520 is 2727795.