Least Common Multiple of 189/638, 141/717, 641/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 189/638, 141/717, 641/176 quickly i.e. 5694003 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 189/638, 141/717, 641/176 is 5694003.

LCM(189/638, 141/717, 641/176) = 5694003

LCM of 189/638, 141/717, 641/176

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 189/638,141/717,641/176

Given numbers are 189/638,141/717,641/176

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 189,141,641

Least Common Multiple of Numerators i.e. LCM of 189,141,641 is 5694003.

GCF of Denominators means GCF of 638,717,176 as per the given fractions.

GCF of 638,717,176 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 189,141,641

LCM of Fractions 189/638,141/717,641/176 is 5694003

3 189, 141, 641
63, 47, 641

∴ So the LCM of the given numbers is 3 x 63 x 47 x 641 = 5694003

Least Common Multiple of 189,141,641 with GCF Formula

Least Common Multiple of 189,141,641 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 189,141,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,141,641) = 1

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

GCF(189,141,641) x common factors =1 x 3 = 3

LCM(189,141,641) = ( 189 × 141 × 641 ) / 3

LCM(189,141,641) = 17082009 / 3

LCM(189,141,641) = 5694003


Lets's calculate GCF of 638,717,176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5694003/1

Therefore the LCM of Fractions 189/638,141/717,641/176 is 5694003

Greatest Common Factor of 638,717,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,717,176 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 638,717,176 . The biggest common factor number is the GCF number.
So the greatest common factor 638,717,176 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 189/638, 141/717, 641/176

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 189/638, 141/717, 641/176?

Answer: LCM of Numerators as per given numbers 189/638, 141/717, 641/176 is

LCM of Numerators i.e. for 189,141,641 is 5694003

GCF of denominators i.e. for 638,717,176 is 1.

Thus, LCM of Fractions is 5694003.Finally, LCM of Fractions for 189/638, 141/717, 641/176 is 5694003.