Least Common Multiple of 937/45, 921/80, 351/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 937/45, 921/80, 351/291 quickly i.e. 100968309 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 937/45, 921/80, 351/291 is 100968309.

LCM(937/45, 921/80, 351/291) = 100968309

LCM of 937/45, 921/80, 351/291

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 937/45,921/80,351/291

Given numbers are 937/45,921/80,351/291

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 937,921,351

Least Common Multiple of Numerators i.e. LCM of 937,921,351 is 100968309.

GCF of Denominators means GCF of 45,80,291 as per the given fractions.

GCF of 45,80,291 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 937,921,351

LCM of Fractions 937/45,921/80,351/291 is 100968309

3 937, 921, 351
937, 307, 117

∴ So the LCM of the given numbers is 3 x 937 x 307 x 117 = 100968309

Least Common Multiple of 937,921,351 with GCF Formula

Least Common Multiple of 937,921,351 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 937,921,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(937,921,351) = 1

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

GCF(937,921,351) x common factors =1 x 3 = 3

LCM(937,921,351) = ( 937 × 921 × 351 ) / 3

LCM(937,921,351) = 302904927 / 3

LCM(937,921,351) = 100968309


Lets's calculate GCF of 45,80,291

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100968309/1

Therefore the LCM of Fractions 937/45,921/80,351/291 is 100968309

Greatest Common Factor of 45,80,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,80,291 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 45,80,291 . The biggest common factor number is the GCF number.
So the greatest common factor 45,80,291 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 937/45, 921/80, 351/291

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 937/45, 921/80, 351/291?

Answer: LCM of Numerators as per given numbers 937/45, 921/80, 351/291 is

LCM of Numerators i.e. for 937,921,351 is 100968309

GCF of denominators i.e. for 45,80,291 is 1.

Thus, LCM of Fractions is 100968309.Finally, LCM of Fractions for 937/45, 921/80, 351/291 is 100968309.