Least Common Multiple of 59/60, 713/52, 968/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 59/60, 713/52, 968/861 quickly i.e. 40720856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/60, 713/52, 968/861 is 40720856.

LCM(59/60, 713/52, 968/861) = 40720856

LCM of 59/60, 713/52, 968/861

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 59/60,713/52,968/861

Given numbers are 59/60,713/52,968/861

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 59,713,968

Least Common Multiple of Numerators i.e. LCM of 59,713,968 is 40720856.

GCF of Denominators means GCF of 60,52,861 as per the given fractions.

GCF of 60,52,861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,713,968

LCM of Fractions 59/60,713/52,968/861 is 40720856

Given numbers has no common factors except 1. So, there LCM is their product i.e 40720856

Least Common Multiple of 59,713,968 with GCF Formula

Least Common Multiple of 59,713,968 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 59,713,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,713,968) = 1

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

GCF(59,713,968) x common factors =1 x 1 = 1

LCM(59,713,968) = ( 59 × 713 × 968 ) / 1

LCM(59,713,968) = 40720856 / 1

LCM(59,713,968) = 40720856


Lets's calculate GCF of 60,52,861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40720856/1

Therefore the LCM of Fractions 59/60,713/52,968/861 is 40720856

Greatest Common Factor of 60,52,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,52,861 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 60,52,861 . The biggest common factor number is the GCF number.
So the greatest common factor 60,52,861 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 59/60, 713/52, 968/861

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 59/60, 713/52, 968/861?

Answer: LCM of Numerators as per given numbers 59/60, 713/52, 968/861 is

LCM of Numerators i.e. for 59,713,968 is 40720856

GCF of denominators i.e. for 60,52,861 is 1.

Thus, LCM of Fractions is 40720856.Finally, LCM of Fractions for 59/60, 713/52, 968/861 is 40720856.