Least Common Multiple of 976/320, 2724/3396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 976/320, 2724/3396 quickly i.e. 166164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 976/320, 2724/3396 is 166164.

LCM(976/320, 2724/3396) = 166164

LCM of 976/320, 2724/3396

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 976/320,2724/3396

Given numbers are 976/320,2724/3396

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 976,2724

Least Common Multiple of Numerators i.e. LCM of 976,2724 is 664656.

GCF of Denominators means GCF of 320,3396 as per the given fractions.

GCF of 320,3396 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 976,2724

LCM of Fractions 976/320,2724/3396 is 166164

2 976, 2724
2 488, 1362
244, 681

∴ So the LCM of the given numbers is 2 x 2 x 244 x 681 = 664656

Least Common Multiple of 976,2724 with GCF Formula

Least Common Multiple of 976,2724 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 976,2724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,2724) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(976,2724) x common factors =4 x 1 = 4

LCM(976,2724) = ( 976 × 2724 ) / 4

LCM(976,2724) = 2658624 / 4

LCM(976,2724) = 664656


Lets's calculate GCF of 320,3396

2 320, 3396
2 160, 1698
80, 849

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 664656/4

Therefore the LCM of Fractions 976/320,2724/3396 is 166164

Greatest Common Factor of 320,3396 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,3396 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 3396

List of positive integer factors of 3396 that divides 3396 without a remainder.

1,2,3,4,6,12,283,566,849,1132,1698,3396

Greatest Common Factor

We found the factors 320,3396 . The biggest common factor number is the GCF number.
So the greatest common factor 320,3396 is 4.


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 976/320, 2724/3396

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 976/320, 2724/3396?

Answer: LCM of Numerators as per given numbers 976/320, 2724/3396 is

LCM of Numerators i.e. for 976,2724 is 664656

GCF of denominators i.e. for 320,3396 is 4.

Thus, LCM of Fractions is 166164.Finally, LCM of Fractions for 976/320, 2724/3396 is 166164.