Least Common Multiple of 252/39, 382/60, 509/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 252/39, 382/60, 509/871 quickly i.e. 24499188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/39, 382/60, 509/871 is 24499188.

LCM(252/39, 382/60, 509/871) = 24499188

LCM of 252/39, 382/60, 509/871

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 252/39,382/60,509/871

Given numbers are 252/39,382/60,509/871

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 252,382,509

Least Common Multiple of Numerators i.e. LCM of 252,382,509 is 24499188.

GCF of Denominators means GCF of 39,60,871 as per the given fractions.

GCF of 39,60,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,382,509

LCM of Fractions 252/39,382/60,509/871 is 24499188

2 252, 382, 509
126, 191, 509

∴ So the LCM of the given numbers is 2 x 126 x 191 x 509 = 24499188

Least Common Multiple of 252,382,509 with GCF Formula

Least Common Multiple of 252,382,509 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 252,382,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,382,509) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(252,382,509) x common factors =1 x 2 = 2

LCM(252,382,509) = ( 252 × 382 × 509 ) / 2

LCM(252,382,509) = 48998376 / 2

LCM(252,382,509) = 24499188


Lets's calculate GCF of 39,60,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24499188/1

Therefore the LCM of Fractions 252/39,382/60,509/871 is 24499188

Greatest Common Factor of 39,60,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,60,871 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

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 39,60,871 . The biggest common factor number is the GCF number.
So the greatest common factor 39,60,871 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 252/39, 382/60, 509/871

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 252/39, 382/60, 509/871?

Answer: LCM of Numerators as per given numbers 252/39, 382/60, 509/871 is

LCM of Numerators i.e. for 252,382,509 is 24499188

GCF of denominators i.e. for 39,60,871 is 1.

Thus, LCM of Fractions is 24499188.Finally, LCM of Fractions for 252/39, 382/60, 509/871 is 24499188.