Least Common Multiple of 337/96, 676/90, 972/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 337/96, 676/90, 972/478 quickly i.e. 27679158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 337/96, 676/90, 972/478 is 27679158.

LCM(337/96, 676/90, 972/478) = 27679158

LCM of 337/96, 676/90, 972/478

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 337/96,676/90,972/478

Given numbers are 337/96,676/90,972/478

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 337,676,972

Least Common Multiple of Numerators i.e. LCM of 337,676,972 is 55358316.

GCF of Denominators means GCF of 96,90,478 as per the given fractions.

GCF of 96,90,478 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 337,676,972

LCM of Fractions 337/96,676/90,972/478 is 27679158

2 337, 676, 972
2 337, 338, 486
337, 169, 243

∴ So the LCM of the given numbers is 2 x 2 x 337 x 169 x 243 = 55358316

Least Common Multiple of 337,676,972 with GCF Formula

Least Common Multiple of 337,676,972 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 337,676,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(337,676,972) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(337,676,972) x common factors =1 x 4 = 4

LCM(337,676,972) = ( 337 × 676 × 972 ) / 4

LCM(337,676,972) = 221433264 / 4

LCM(337,676,972) = 55358316


Lets's calculate GCF of 96,90,478

2 96, 90, 478
48, 45, 239

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55358316/2

Therefore the LCM of Fractions 337/96,676/90,972/478 is 27679158

Greatest Common Factor of 96,90,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,90,478 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 96,90,478 . The biggest common factor number is the GCF number.
So the greatest common factor 96,90,478 is 2.


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 337/96, 676/90, 972/478

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 337/96, 676/90, 972/478?

Answer: LCM of Numerators as per given numbers 337/96, 676/90, 972/478 is

LCM of Numerators i.e. for 337,676,972 is 55358316

GCF of denominators i.e. for 96,90,478 is 2.

Thus, LCM of Fractions is 27679158.Finally, LCM of Fractions for 337/96, 676/90, 972/478 is 27679158.