Least Common Multiple of 676/292, 5408/8640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 676/292, 5408/8640 quickly i.e. 1352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/292, 5408/8640 is 1352.

LCM(676/292, 5408/8640) = 1352

LCM of 676/292, 5408/8640

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 676/292,5408/8640

Given numbers are 676/292,5408/8640

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 676,5408

Least Common Multiple of Numerators i.e. LCM of 676,5408 is 5408.

GCF of Denominators means GCF of 292,8640 as per the given fractions.

GCF of 292,8640 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,5408

LCM of Fractions 676/292,5408/8640 is 1352

2 676, 5408
2 338, 2704
13 169, 1352
13 13, 104
1, 8

∴ So the LCM of the given numbers is 2 x 2 x 13 x 13 x 1 x 8 = 5408

Least Common Multiple of 676,5408 with GCF Formula

Least Common Multiple of 676,5408 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 676,5408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,5408) = 676

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

GCF(676,5408) x common factors =676 x 1 = 676

LCM(676,5408) = ( 676 × 5408 ) / 676

LCM(676,5408) = 3655808 / 676

LCM(676,5408) = 5408


Lets's calculate GCF of 292,8640

2 292, 8640
2 146, 4320
73, 2160

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5408/4

Therefore the LCM of Fractions 676/292,5408/8640 is 1352

Greatest Common Factor of 292,8640 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,8640 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 8640

List of positive integer factors of 8640 that divides 8640 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,64,72,80,90,96,108,120,135,144,160,180,192,216,240,270,288,320,360,432,480,540,576,720,864,960,1080,1440,1728,2160,2880,4320,8640

Greatest Common Factor

We found the factors 292,8640 . The biggest common factor number is the GCF number.
So the greatest common factor 292,8640 is 4.


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 676/292, 5408/8640

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 676/292, 5408/8640?

Answer: LCM of Numerators as per given numbers 676/292, 5408/8640 is

LCM of Numerators i.e. for 676,5408 is 5408

GCF of denominators i.e. for 292,8640 is 4.

Thus, LCM of Fractions is 1352.Finally, LCM of Fractions for 676/292, 5408/8640 is 1352.