Least Common Multiple of 8640/30, 2724/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8640/30, 2724/772 quickly i.e. 980640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8640/30, 2724/772 is 980640.

LCM(8640/30, 2724/772) = 980640

LCM of 8640/30, 2724/772

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 8640/30,2724/772

Given numbers are 8640/30,2724/772

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 8640,2724

Least Common Multiple of Numerators i.e. LCM of 8640,2724 is 1961280.

GCF of Denominators means GCF of 30,772 as per the given fractions.

GCF of 30,772 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8640,2724

LCM of Fractions 8640/30,2724/772 is 980640

2 8640, 2724
2 4320, 1362
3 2160, 681
720, 227

∴ So the LCM of the given numbers is 2 x 2 x 3 x 720 x 227 = 1961280

Least Common Multiple of 8640,2724 with GCF Formula

Least Common Multiple of 8640,2724 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 8640,2724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8640,2724) = 12

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

GCF(8640,2724) x common factors =12 x 1 = 12

LCM(8640,2724) = ( 8640 × 2724 ) / 12

LCM(8640,2724) = 23535360 / 12

LCM(8640,2724) = 1961280


Lets's calculate GCF of 30,772

2 30, 772
15, 386

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1961280/2

Therefore the LCM of Fractions 8640/30,2724/772 is 980640

Greatest Common Factor of 30,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,772 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 772

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

1,2,4,193,386,772

Greatest Common Factor

We found the factors 30,772 . The biggest common factor number is the GCF number.
So the greatest common factor 30,772 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 8640/30, 2724/772

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 8640/30, 2724/772?

Answer: LCM of Numerators as per given numbers 8640/30, 2724/772 is

LCM of Numerators i.e. for 8640,2724 is 1961280

GCF of denominators i.e. for 30,772 is 2.

Thus, LCM of Fractions is 980640.Finally, LCM of Fractions for 8640/30, 2724/772 is 980640.