Least Common Multiple of 76/501, 8691/5716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/501, 8691/5716 quickly i.e. 660516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/501, 8691/5716 is 660516.

LCM(76/501, 8691/5716) = 660516

LCM of 76/501, 8691/5716

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 76/501,8691/5716

Given numbers are 76/501,8691/5716

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 76,8691

Least Common Multiple of Numerators i.e. LCM of 76,8691 is 660516.

GCF of Denominators means GCF of 501,5716 as per the given fractions.

GCF of 501,5716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,8691

LCM of Fractions 76/501,8691/5716 is 660516

Given numbers has no common factors except 1. So, there LCM is their product i.e 660516

Least Common Multiple of 76,8691 with GCF Formula

Least Common Multiple of 76,8691 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 76,8691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,8691) = 1

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

GCF(76,8691) x common factors =1 x 1 = 1

LCM(76,8691) = ( 76 × 8691 ) / 1

LCM(76,8691) = 660516 / 1

LCM(76,8691) = 660516


Lets's calculate GCF of 501,5716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 660516/1

Therefore the LCM of Fractions 76/501,8691/5716 is 660516

Greatest Common Factor of 501,5716 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,5716 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 5716

List of positive integer factors of 5716 that divides 5716 without a remainder.

1,2,4,1429,2858,5716

Greatest Common Factor

We found the factors 501,5716 . The biggest common factor number is the GCF number.
So the greatest common factor 501,5716 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 76/501, 8691/5716

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 76/501, 8691/5716?

Answer: LCM of Numerators as per given numbers 76/501, 8691/5716 is

LCM of Numerators i.e. for 76,8691 is 660516

GCF of denominators i.e. for 501,5716 is 1.

Thus, LCM of Fractions is 660516.Finally, LCM of Fractions for 76/501, 8691/5716 is 660516.