Least Common Multiple of 76/201, 82/766, 815/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/201, 82/766, 815/577 quickly i.e. 2539540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/201, 82/766, 815/577 is 2539540.

LCM(76/201, 82/766, 815/577) = 2539540

LCM of 76/201, 82/766, 815/577

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 76/201,82/766,815/577

Given numbers are 76/201,82/766,815/577

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 76,82,815

Least Common Multiple of Numerators i.e. LCM of 76,82,815 is 2539540.

GCF of Denominators means GCF of 201,766,577 as per the given fractions.

GCF of 201,766,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,82,815

LCM of Fractions 76/201,82/766,815/577 is 2539540

2 76, 82, 815
38, 41, 815

∴ So the LCM of the given numbers is 2 x 38 x 41 x 815 = 2539540

Least Common Multiple of 76,82,815 with GCF Formula

Least Common Multiple of 76,82,815 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 76,82,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,82,815) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,82,815) x common factors =1 x 2 = 2

LCM(76,82,815) = ( 76 × 82 × 815 ) / 2

LCM(76,82,815) = 5079080 / 2

LCM(76,82,815) = 2539540


Lets's calculate GCF of 201,766,577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2539540/1

Therefore the LCM of Fractions 76/201,82/766,815/577 is 2539540

Greatest Common Factor of 201,766,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,766,577 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 201,766,577 . The biggest common factor number is the GCF number.
So the greatest common factor 201,766,577 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 76/201, 82/766, 815/577

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 76/201, 82/766, 815/577?

Answer: LCM of Numerators as per given numbers 76/201, 82/766, 815/577 is

LCM of Numerators i.e. for 76,82,815 is 2539540

GCF of denominators i.e. for 201,766,577 is 1.

Thus, LCM of Fractions is 2539540.Finally, LCM of Fractions for 76/201, 82/766, 815/577 is 2539540.