Least Common Multiple of 1584/718, 8472/7756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1584/718, 8472/7756 quickly i.e. 279576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1584/718, 8472/7756 is 279576.

LCM(1584/718, 8472/7756) = 279576

LCM of 1584/718, 8472/7756

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 1584/718,8472/7756

Given numbers are 1584/718,8472/7756

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 1584,8472

Least Common Multiple of Numerators i.e. LCM of 1584,8472 is 559152.

GCF of Denominators means GCF of 718,7756 as per the given fractions.

GCF of 718,7756 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1584,8472

LCM of Fractions 1584/718,8472/7756 is 279576

2 1584, 8472
2 792, 4236
2 396, 2118
3 198, 1059
66, 353

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 66 x 353 = 559152

Least Common Multiple of 1584,8472 with GCF Formula

Least Common Multiple of 1584,8472 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 1584,8472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1584,8472) = 24

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

GCF(1584,8472) x common factors =24 x 1 = 24

LCM(1584,8472) = ( 1584 × 8472 ) / 24

LCM(1584,8472) = 13419648 / 24

LCM(1584,8472) = 559152


Lets's calculate GCF of 718,7756

2 718, 7756
359, 3878

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 559152/2

Therefore the LCM of Fractions 1584/718,8472/7756 is 279576

Greatest Common Factor of 718,7756 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,7756 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 7756

List of positive integer factors of 7756 that divides 7756 without a remainder.

1,2,4,7,14,28,277,554,1108,1939,3878,7756

Greatest Common Factor

We found the factors 718,7756 . The biggest common factor number is the GCF number.
So the greatest common factor 718,7756 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 1584/718, 8472/7756

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 1584/718, 8472/7756?

Answer: LCM of Numerators as per given numbers 1584/718, 8472/7756 is

LCM of Numerators i.e. for 1584,8472 is 559152

GCF of denominators i.e. for 718,7756 is 2.

Thus, LCM of Fractions is 279576.Finally, LCM of Fractions for 1584/718, 8472/7756 is 279576.