Least Common Multiple of 931/775, 351/676, 813/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 931/775, 351/676, 813/563 quickly i.e. 88557651 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 931/775, 351/676, 813/563 is 88557651.

LCM(931/775, 351/676, 813/563) = 88557651

LCM of 931/775, 351/676, 813/563

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 931/775,351/676,813/563

Given numbers are 931/775,351/676,813/563

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 931,351,813

Least Common Multiple of Numerators i.e. LCM of 931,351,813 is 88557651.

GCF of Denominators means GCF of 775,676,563 as per the given fractions.

GCF of 775,676,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 931,351,813

LCM of Fractions 931/775,351/676,813/563 is 88557651

3 931, 351, 813
931, 117, 271

∴ So the LCM of the given numbers is 3 x 931 x 117 x 271 = 88557651

Least Common Multiple of 931,351,813 with GCF Formula

Least Common Multiple of 931,351,813 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 931,351,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,351,813) = 1

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

GCF(931,351,813) x common factors =1 x 3 = 3

LCM(931,351,813) = ( 931 × 351 × 813 ) / 3

LCM(931,351,813) = 265672953 / 3

LCM(931,351,813) = 88557651


Lets's calculate GCF of 775,676,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88557651/1

Therefore the LCM of Fractions 931/775,351/676,813/563 is 88557651

Greatest Common Factor of 775,676,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,676,563 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 775,676,563 . The biggest common factor number is the GCF number.
So the greatest common factor 775,676,563 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 931/775, 351/676, 813/563

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 931/775, 351/676, 813/563?

Answer: LCM of Numerators as per given numbers 931/775, 351/676, 813/563 is

LCM of Numerators i.e. for 931,351,813 is 88557651

GCF of denominators i.e. for 775,676,563 is 1.

Thus, LCM of Fractions is 88557651.Finally, LCM of Fractions for 931/775, 351/676, 813/563 is 88557651.