Least Common Multiple of 94/381, 24/289, 139/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/381, 24/289, 139/545 quickly i.e. 156792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/381, 24/289, 139/545 is 156792.

LCM(94/381, 24/289, 139/545) = 156792

LCM of 94/381, 24/289, 139/545

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 94/381,24/289,139/545

Given numbers are 94/381,24/289,139/545

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 94,24,139

Least Common Multiple of Numerators i.e. LCM of 94,24,139 is 156792.

GCF of Denominators means GCF of 381,289,545 as per the given fractions.

GCF of 381,289,545 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,24,139

LCM of Fractions 94/381,24/289,139/545 is 156792

2 94, 24, 139
47, 12, 139

∴ So the LCM of the given numbers is 2 x 47 x 12 x 139 = 156792

Least Common Multiple of 94,24,139 with GCF Formula

Least Common Multiple of 94,24,139 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 94,24,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,24,139) = 1

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

GCF(94,24,139) x common factors =1 x 2 = 2

LCM(94,24,139) = ( 94 × 24 × 139 ) / 2

LCM(94,24,139) = 313584 / 2

LCM(94,24,139) = 156792


Lets's calculate GCF of 381,289,545

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156792/1

Therefore the LCM of Fractions 94/381,24/289,139/545 is 156792

Greatest Common Factor of 381,289,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,289,545 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 381,289,545 . The biggest common factor number is the GCF number.
So the greatest common factor 381,289,545 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 94/381, 24/289, 139/545

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 94/381, 24/289, 139/545?

Answer: LCM of Numerators as per given numbers 94/381, 24/289, 139/545 is

LCM of Numerators i.e. for 94,24,139 is 156792

GCF of denominators i.e. for 381,289,545 is 1.

Thus, LCM of Fractions is 156792.Finally, LCM of Fractions for 94/381, 24/289, 139/545 is 156792.