Least Common Multiple of 5152/876, 7584/2640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5152/876, 7584/2640 quickly i.e. 101752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5152/876, 7584/2640 is 101752.

LCM(5152/876, 7584/2640) = 101752

LCM of 5152/876, 7584/2640

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 5152/876,7584/2640

Given numbers are 5152/876,7584/2640

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 5152,7584

Least Common Multiple of Numerators i.e. LCM of 5152,7584 is 1221024.

GCF of Denominators means GCF of 876,2640 as per the given fractions.

GCF of 876,2640 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5152,7584

LCM of Fractions 5152/876,7584/2640 is 101752

2 5152, 7584
2 2576, 3792
2 1288, 1896
2 644, 948
2 322, 474
161, 237

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 161 x 237 = 1221024

Least Common Multiple of 5152,7584 with GCF Formula

Least Common Multiple of 5152,7584 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 5152,7584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5152,7584) = 32

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

GCF(5152,7584) x common factors =32 x 1 = 32

LCM(5152,7584) = ( 5152 × 7584 ) / 32

LCM(5152,7584) = 39072768 / 32

LCM(5152,7584) = 1221024


Lets's calculate GCF of 876,2640

2 876, 2640
2 438, 1320
3 219, 660
73, 220

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1221024/12

Therefore the LCM of Fractions 5152/876,7584/2640 is 101752

Greatest Common Factor of 876,2640 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,2640 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 2640

List of positive integer factors of 2640 that divides 2640 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,132,165,176,220,240,264,330,440,528,660,880,1320,2640

Greatest Common Factor

We found the factors 876,2640 . The biggest common factor number is the GCF number.
So the greatest common factor 876,2640 is 12.


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 5152/876, 7584/2640

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 5152/876, 7584/2640?

Answer: LCM of Numerators as per given numbers 5152/876, 7584/2640 is

LCM of Numerators i.e. for 5152,7584 is 1221024

GCF of denominators i.e. for 876,2640 is 12.

Thus, LCM of Fractions is 101752.Finally, LCM of Fractions for 5152/876, 7584/2640 is 101752.