Least Common Multiple of 8640/935, 7836/5954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8640/935, 7836/5954 quickly i.e. 5641920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8640/935, 7836/5954 is 5641920.

LCM(8640/935, 7836/5954) = 5641920

LCM of 8640/935, 7836/5954

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 8640/935,7836/5954

Given numbers are 8640/935,7836/5954

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 8640,7836

Least Common Multiple of Numerators i.e. LCM of 8640,7836 is 5641920.

GCF of Denominators means GCF of 935,5954 as per the given fractions.

GCF of 935,5954 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8640,7836

LCM of Fractions 8640/935,7836/5954 is 5641920

2 8640, 7836
2 4320, 3918
3 2160, 1959
720, 653

∴ So the LCM of the given numbers is 2 x 2 x 3 x 720 x 653 = 5641920

Least Common Multiple of 8640,7836 with GCF Formula

Least Common Multiple of 8640,7836 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 8640,7836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8640,7836) = 12

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

GCF(8640,7836) x common factors =12 x 1 = 12

LCM(8640,7836) = ( 8640 × 7836 ) / 12

LCM(8640,7836) = 67703040 / 12

LCM(8640,7836) = 5641920


Lets's calculate GCF of 935,5954

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5641920/1

Therefore the LCM of Fractions 8640/935,7836/5954 is 5641920

Greatest Common Factor of 935,5954 By Matching Biggest Common Factor Method

Greatest Common Factor of 935,5954 By Matching Biggest Common Factor Method

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Factors of 5954

List of positive integer factors of 5954 that divides 5954 without a remainder.

1,2,13,26,229,458,2977,5954

Greatest Common Factor

We found the factors 935,5954 . The biggest common factor number is the GCF number.
So the greatest common factor 935,5954 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 8640/935, 7836/5954

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 8640/935, 7836/5954?

Answer: LCM of Numerators as per given numbers 8640/935, 7836/5954 is

LCM of Numerators i.e. for 8640,7836 is 5641920

GCF of denominators i.e. for 935,5954 is 1.

Thus, LCM of Fractions is 5641920.Finally, LCM of Fractions for 8640/935, 7836/5954 is 5641920.