Least Common Multiple of 291/772, 905/642, 117/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/772, 905/642, 117/523 quickly i.e. 10270845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/772, 905/642, 117/523 is 10270845.

LCM(291/772, 905/642, 117/523) = 10270845

LCM of 291/772, 905/642, 117/523

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 291/772,905/642,117/523

Given numbers are 291/772,905/642,117/523

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 291,905,117

Least Common Multiple of Numerators i.e. LCM of 291,905,117 is 10270845.

GCF of Denominators means GCF of 772,642,523 as per the given fractions.

GCF of 772,642,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,905,117

LCM of Fractions 291/772,905/642,117/523 is 10270845

3 291, 905, 117
97, 905, 39

∴ So the LCM of the given numbers is 3 x 97 x 905 x 39 = 10270845

Least Common Multiple of 291,905,117 with GCF Formula

Least Common Multiple of 291,905,117 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 291,905,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,905,117) = 1

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

GCF(291,905,117) x common factors =1 x 3 = 3

LCM(291,905,117) = ( 291 × 905 × 117 ) / 3

LCM(291,905,117) = 30812535 / 3

LCM(291,905,117) = 10270845


Lets's calculate GCF of 772,642,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10270845/1

Therefore the LCM of Fractions 291/772,905/642,117/523 is 10270845

Greatest Common Factor of 772,642,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,642,523 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 772,642,523 . The biggest common factor number is the GCF number.
So the greatest common factor 772,642,523 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 291/772, 905/642, 117/523

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 291/772, 905/642, 117/523?

Answer: LCM of Numerators as per given numbers 291/772, 905/642, 117/523 is

LCM of Numerators i.e. for 291,905,117 is 10270845

GCF of denominators i.e. for 772,642,523 is 1.

Thus, LCM of Fractions is 10270845.Finally, LCM of Fractions for 291/772, 905/642, 117/523 is 10270845.