Least Common Multiple of 39/52, 344/72, 579/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/52, 344/72, 579/871 quickly i.e. 2589288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/52, 344/72, 579/871 is 2589288.

LCM(39/52, 344/72, 579/871) = 2589288

LCM of 39/52, 344/72, 579/871

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 39/52,344/72,579/871

Given numbers are 39/52,344/72,579/871

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 39,344,579

Least Common Multiple of Numerators i.e. LCM of 39,344,579 is 2589288.

GCF of Denominators means GCF of 52,72,871 as per the given fractions.

GCF of 52,72,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,344,579

LCM of Fractions 39/52,344/72,579/871 is 2589288

3 39, 344, 579
13, 344, 193

∴ So the LCM of the given numbers is 3 x 13 x 344 x 193 = 2589288

Least Common Multiple of 39,344,579 with GCF Formula

Least Common Multiple of 39,344,579 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 39,344,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,344,579) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,344,579) x common factors =1 x 3 = 3

LCM(39,344,579) = ( 39 × 344 × 579 ) / 3

LCM(39,344,579) = 7767864 / 3

LCM(39,344,579) = 2589288


Lets's calculate GCF of 52,72,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2589288/1

Therefore the LCM of Fractions 39/52,344/72,579/871 is 2589288

Greatest Common Factor of 52,72,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,72,871 By Matching Biggest Common Factor Method

Factors of 52

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

1,2,4,13,26,52

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 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 52,72,871 . The biggest common factor number is the GCF number.
So the greatest common factor 52,72,871 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 39/52, 344/72, 579/871

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 39/52, 344/72, 579/871?

Answer: LCM of Numerators as per given numbers 39/52, 344/72, 579/871 is

LCM of Numerators i.e. for 39,344,579 is 2589288

GCF of denominators i.e. for 52,72,871 is 1.

Thus, LCM of Fractions is 2589288.Finally, LCM of Fractions for 39/52, 344/72, 579/871 is 2589288.