Least Common Multiple of 72/41, 61/62, 854/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/41, 61/62, 854/579 quickly i.e. 30744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/41, 61/62, 854/579 is 30744.

LCM(72/41, 61/62, 854/579) = 30744

LCM of 72/41, 61/62, 854/579

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 72/41,61/62,854/579

Given numbers are 72/41,61/62,854/579

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 72,61,854

Least Common Multiple of Numerators i.e. LCM of 72,61,854 is 30744.

GCF of Denominators means GCF of 41,62,579 as per the given fractions.

GCF of 41,62,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,61,854

LCM of Fractions 72/41,61/62,854/579 is 30744

2 72, 61, 854
61 36, 61, 427
36, 1, 7

∴ So the LCM of the given numbers is 2 x 61 x 36 x 1 x 7 = 30744

Least Common Multiple of 72,61,854 with GCF Formula

Least Common Multiple of 72,61,854 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 72,61,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,61,854) = 1

common factors(in case of two or more numbers have common factors) = 122

GCF(72,61,854) x common factors =1 x 122 = 122

LCM(72,61,854) = ( 72 × 61 × 854 ) / 122

LCM(72,61,854) = 3750768 / 122

LCM(72,61,854) = 30744


Lets's calculate GCF of 41,62,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30744/1

Therefore the LCM of Fractions 72/41,61/62,854/579 is 30744

Greatest Common Factor of 41,62,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,62,579 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

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 41,62,579 . The biggest common factor number is the GCF number.
So the greatest common factor 41,62,579 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 72/41, 61/62, 854/579

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 72/41, 61/62, 854/579?

Answer: LCM of Numerators as per given numbers 72/41, 61/62, 854/579 is

LCM of Numerators i.e. for 72,61,854 is 30744

GCF of denominators i.e. for 41,62,579 is 1.

Thus, LCM of Fractions is 30744.Finally, LCM of Fractions for 72/41, 61/62, 854/579 is 30744.