Least Common Multiple of 5091/599, 5661/5041

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5091/599, 5661/5041 quickly i.e. 9606717 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5091/599, 5661/5041 is 9606717.

LCM(5091/599, 5661/5041) = 9606717

LCM of 5091/599, 5661/5041

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 5091/599,5661/5041

Given numbers are 5091/599,5661/5041

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 5091,5661

Least Common Multiple of Numerators i.e. LCM of 5091,5661 is 9606717.

GCF of Denominators means GCF of 599,5041 as per the given fractions.

GCF of 599,5041 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5091,5661

LCM of Fractions 5091/599,5661/5041 is 9606717

3 5091, 5661
1697, 1887

∴ So the LCM of the given numbers is 3 x 1697 x 1887 = 9606717

Least Common Multiple of 5091,5661 with GCF Formula

Least Common Multiple of 5091,5661 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 5091,5661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5091,5661) = 3

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

GCF(5091,5661) x common factors =3 x 1 = 3

LCM(5091,5661) = ( 5091 × 5661 ) / 3

LCM(5091,5661) = 28820151 / 3

LCM(5091,5661) = 9606717


Lets's calculate GCF of 599,5041

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9606717/1

Therefore the LCM of Fractions 5091/599,5661/5041 is 9606717

Greatest Common Factor of 599,5041 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,5041 By Matching Biggest Common Factor Method

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 5041

List of positive integer factors of 5041 that divides 5041 without a remainder.

1,71,5041

Greatest Common Factor

We found the factors 599,5041 . The biggest common factor number is the GCF number.
So the greatest common factor 599,5041 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 5091/599, 5661/5041

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 5091/599, 5661/5041?

Answer: LCM of Numerators as per given numbers 5091/599, 5661/5041 is

LCM of Numerators i.e. for 5091,5661 is 9606717

GCF of denominators i.e. for 599,5041 is 1.

Thus, LCM of Fractions is 9606717.Finally, LCM of Fractions for 5091/599, 5661/5041 is 9606717.