Least Common Multiple of 5/261, 89/560, 46/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/261, 89/560, 46/113 quickly i.e. 20470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/261, 89/560, 46/113 is 20470.

LCM(5/261, 89/560, 46/113) = 20470

LCM of 5/261, 89/560, 46/113

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 5/261,89/560,46/113

Given numbers are 5/261,89/560,46/113

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 5,89,46

Least Common Multiple of Numerators i.e. LCM of 5,89,46 is 20470.

GCF of Denominators means GCF of 261,560,113 as per the given fractions.

GCF of 261,560,113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,89,46

LCM of Fractions 5/261,89/560,46/113 is 20470

Given numbers has no common factors except 1. So, there LCM is their product i.e 20470

Least Common Multiple of 5,89,46 with GCF Formula

Least Common Multiple of 5,89,46 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 5,89,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,89,46) = 1

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

GCF(5,89,46) x common factors =1 x 1 = 1

LCM(5,89,46) = ( 5 × 89 × 46 ) / 1

LCM(5,89,46) = 20470 / 1

LCM(5,89,46) = 20470


Lets's calculate GCF of 261,560,113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20470/1

Therefore the LCM of Fractions 5/261,89/560,46/113 is 20470

Greatest Common Factor of 261,560,113 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,560,113 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Greatest Common Factor

We found the factors 261,560,113 . The biggest common factor number is the GCF number.
So the greatest common factor 261,560,113 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 5/261, 89/560, 46/113

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 5/261, 89/560, 46/113?

Answer: LCM of Numerators as per given numbers 5/261, 89/560, 46/113 is

LCM of Numerators i.e. for 5,89,46 is 20470

GCF of denominators i.e. for 261,560,113 is 1.

Thus, LCM of Fractions is 20470.Finally, LCM of Fractions for 5/261, 89/560, 46/113 is 20470.