Least Common Multiple of 61/72, 37/25, 260/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/72, 37/25, 260/579 quickly i.e. 586820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/72, 37/25, 260/579 is 586820.

LCM(61/72, 37/25, 260/579) = 586820

LCM of 61/72, 37/25, 260/579

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 61/72,37/25,260/579

Given numbers are 61/72,37/25,260/579

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 61,37,260

Least Common Multiple of Numerators i.e. LCM of 61,37,260 is 586820.

GCF of Denominators means GCF of 72,25,579 as per the given fractions.

GCF of 72,25,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,37,260

LCM of Fractions 61/72,37/25,260/579 is 586820

Given numbers has no common factors except 1. So, there LCM is their product i.e 586820

Least Common Multiple of 61,37,260 with GCF Formula

Least Common Multiple of 61,37,260 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 61,37,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,37,260) = 1

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

GCF(61,37,260) x common factors =1 x 1 = 1

LCM(61,37,260) = ( 61 × 37 × 260 ) / 1

LCM(61,37,260) = 586820 / 1

LCM(61,37,260) = 586820


Lets's calculate GCF of 72,25,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 586820/1

Therefore the LCM of Fractions 61/72,37/25,260/579 is 586820

Greatest Common Factor of 72,25,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,25,579 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 72,25,579 . The biggest common factor number is the GCF number.
So the greatest common factor 72,25,579 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 61/72, 37/25, 260/579

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 61/72, 37/25, 260/579?

Answer: LCM of Numerators as per given numbers 61/72, 37/25, 260/579 is

LCM of Numerators i.e. for 61,37,260 is 586820

GCF of denominators i.e. for 72,25,579 is 1.

Thus, LCM of Fractions is 586820.Finally, LCM of Fractions for 61/72, 37/25, 260/579 is 586820.