Least Common Multiple of 7482/728, 9564/2696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7482/728, 9564/2696 quickly i.e. 11926308/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7482/728, 9564/2696 is 11926308/8.

LCM(7482/728, 9564/2696) = 11926308/8

LCM of 7482/728, 9564/2696

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 7482/728,9564/2696

Given numbers are 7482/728,9564/2696

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 7482,9564

Least Common Multiple of Numerators i.e. LCM of 7482,9564 is 11926308.

GCF of Denominators means GCF of 728,2696 as per the given fractions.

GCF of 728,2696 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7482,9564

LCM of Fractions 7482/728,9564/2696 is 11926308/8

2 7482, 9564
3 3741, 4782
1247, 1594

∴ So the LCM of the given numbers is 2 x 3 x 1247 x 1594 = 11926308

Least Common Multiple of 7482,9564 with GCF Formula

Least Common Multiple of 7482,9564 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 7482,9564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7482,9564) = 6

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

GCF(7482,9564) x common factors =6 x 1 = 6

LCM(7482,9564) = ( 7482 × 9564 ) / 6

LCM(7482,9564) = 71557848 / 6

LCM(7482,9564) = 11926308


Lets's calculate GCF of 728,2696

2 728, 2696
2 364, 1348
2 182, 674
91, 337

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11926308/8

Therefore the LCM of Fractions 7482/728,9564/2696 is 11926308/8

Greatest Common Factor of 728,2696 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,2696 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 2696

List of positive integer factors of 2696 that divides 2696 without a remainder.

1,2,4,8,337,674,1348,2696

Greatest Common Factor

We found the factors 728,2696 . The biggest common factor number is the GCF number.
So the greatest common factor 728,2696 is 8.


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 7482/728, 9564/2696

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 7482/728, 9564/2696?

Answer: LCM of Numerators as per given numbers 7482/728, 9564/2696 is

LCM of Numerators i.e. for 7482,9564 is 11926308

GCF of denominators i.e. for 728,2696 is 8.

Thus, LCM of Fractions is 11926308/8.Finally, LCM of Fractions for 7482/728, 9564/2696 is 11926308/8.