Least Common Multiple of 560/909, 5665/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/909, 5665/656 quickly i.e. 634480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/909, 5665/656 is 634480.

LCM(560/909, 5665/656) = 634480

LCM of 560/909, 5665/656

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 560/909,5665/656

Given numbers are 560/909,5665/656

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 560,5665

Least Common Multiple of Numerators i.e. LCM of 560,5665 is 634480.

GCF of Denominators means GCF of 909,656 as per the given fractions.

GCF of 909,656 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,5665

LCM of Fractions 560/909,5665/656 is 634480

5 560, 5665
112, 1133

∴ So the LCM of the given numbers is 5 x 112 x 1133 = 634480

Least Common Multiple of 560,5665 with GCF Formula

Least Common Multiple of 560,5665 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 560,5665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,5665) = 5

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

GCF(560,5665) x common factors =5 x 1 = 5

LCM(560,5665) = ( 560 × 5665 ) / 5

LCM(560,5665) = 3172400 / 5

LCM(560,5665) = 634480


Lets's calculate GCF of 909,656

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 634480/1

Therefore the LCM of Fractions 560/909,5665/656 is 634480

Greatest Common Factor of 909,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,656 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 909,656 . The biggest common factor number is the GCF number.
So the greatest common factor 909,656 is 1.


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 560/909, 5665/656

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 560/909, 5665/656?

Answer: LCM of Numerators as per given numbers 560/909, 5665/656 is

LCM of Numerators i.e. for 560,5665 is 634480

GCF of denominators i.e. for 909,656 is 1.

Thus, LCM of Fractions is 634480.Finally, LCM of Fractions for 560/909, 5665/656 is 634480.