Least Common Multiple of 560/728, 959/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/728, 959/904 quickly i.e. 9590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/728, 959/904 is 9590.

LCM(560/728, 959/904) = 9590

LCM of 560/728, 959/904

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 560/728,959/904

Given numbers are 560/728,959/904

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 560,959

Least Common Multiple of Numerators i.e. LCM of 560,959 is 76720.

GCF of Denominators means GCF of 728,904 as per the given fractions.

GCF of 728,904 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,959

LCM of Fractions 560/728,959/904 is 9590

7 560, 959
80, 137

∴ So the LCM of the given numbers is 7 x 80 x 137 = 76720

Least Common Multiple of 560,959 with GCF Formula

Least Common Multiple of 560,959 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 560,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,959) = 7

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

GCF(560,959) x common factors =7 x 1 = 7

LCM(560,959) = ( 560 × 959 ) / 7

LCM(560,959) = 537040 / 7

LCM(560,959) = 76720


Lets's calculate GCF of 728,904

2 728, 904
2 364, 452
2 182, 226
91, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76720/8

Therefore the LCM of Fractions 560/728,959/904 is 9590

Greatest Common Factor of 728,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,904 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 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 728,904 . The biggest common factor number is the GCF number.
So the greatest common factor 728,904 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 560/728, 959/904

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 560/728, 959/904?

Answer: LCM of Numerators as per given numbers 560/728, 959/904 is

LCM of Numerators i.e. for 560,959 is 76720

GCF of denominators i.e. for 728,904 is 8.

Thus, LCM of Fractions is 9590.Finally, LCM of Fractions for 560/728, 959/904 is 9590.