Least Common Multiple of 384/875, 130/446, 391/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/875, 130/446, 391/725 quickly i.e. 9759360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/875, 130/446, 391/725 is 9759360.

LCM(384/875, 130/446, 391/725) = 9759360

LCM of 384/875, 130/446, 391/725

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 384/875,130/446,391/725

Given numbers are 384/875,130/446,391/725

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 384,130,391

Least Common Multiple of Numerators i.e. LCM of 384,130,391 is 9759360.

GCF of Denominators means GCF of 875,446,725 as per the given fractions.

GCF of 875,446,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,130,391

LCM of Fractions 384/875,130/446,391/725 is 9759360

2 384, 130, 391
192, 65, 391

∴ So the LCM of the given numbers is 2 x 192 x 65 x 391 = 9759360

Least Common Multiple of 384,130,391 with GCF Formula

Least Common Multiple of 384,130,391 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 384,130,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,130,391) = 1

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

GCF(384,130,391) x common factors =1 x 2 = 2

LCM(384,130,391) = ( 384 × 130 × 391 ) / 2

LCM(384,130,391) = 19518720 / 2

LCM(384,130,391) = 9759360


Lets's calculate GCF of 875,446,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9759360/1

Therefore the LCM of Fractions 384/875,130/446,391/725 is 9759360

Greatest Common Factor of 875,446,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,446,725 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 875,446,725 . The biggest common factor number is the GCF number.
So the greatest common factor 875,446,725 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 384/875, 130/446, 391/725

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 384/875, 130/446, 391/725?

Answer: LCM of Numerators as per given numbers 384/875, 130/446, 391/725 is

LCM of Numerators i.e. for 384,130,391 is 9759360

GCF of denominators i.e. for 875,446,725 is 1.

Thus, LCM of Fractions is 9759360.Finally, LCM of Fractions for 384/875, 130/446, 391/725 is 9759360.