Least Common Multiple of 59/486, 2552/9579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/486, 2552/9579 quickly i.e. 150568/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/486, 2552/9579 is 150568/3.

LCM(59/486, 2552/9579) = 150568/3

LCM of 59/486, 2552/9579

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 59/486,2552/9579

Given numbers are 59/486,2552/9579

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 59,2552

Least Common Multiple of Numerators i.e. LCM of 59,2552 is 150568.

GCF of Denominators means GCF of 486,9579 as per the given fractions.

GCF of 486,9579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,2552

LCM of Fractions 59/486,2552/9579 is 150568/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 150568

Least Common Multiple of 59,2552 with GCF Formula

Least Common Multiple of 59,2552 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 59,2552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,2552) = 1

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

GCF(59,2552) x common factors =1 x 1 = 1

LCM(59,2552) = ( 59 × 2552 ) / 1

LCM(59,2552) = 150568 / 1

LCM(59,2552) = 150568


Lets's calculate GCF of 486,9579

3 486, 9579
162, 3193

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150568/3

Therefore the LCM of Fractions 59/486,2552/9579 is 150568/3

Greatest Common Factor of 486,9579 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,9579 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 9579

List of positive integer factors of 9579 that divides 9579 without a remainder.

1,3,31,93,103,309,3193,9579

Greatest Common Factor

We found the factors 486,9579 . The biggest common factor number is the GCF number.
So the greatest common factor 486,9579 is 3.


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 59/486, 2552/9579

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 59/486, 2552/9579?

Answer: LCM of Numerators as per given numbers 59/486, 2552/9579 is

LCM of Numerators i.e. for 59,2552 is 150568

GCF of denominators i.e. for 486,9579 is 3.

Thus, LCM of Fractions is 150568/3.Finally, LCM of Fractions for 59/486, 2552/9579 is 150568/3.