Least Common Multiple of 381/176, 831/278, 587/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 381/176, 831/278, 587/844 quickly i.e. 61950219/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/176, 831/278, 587/844 is 61950219/2.

LCM(381/176, 831/278, 587/844) = 61950219/2

LCM of 381/176, 831/278, 587/844

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 381/176,831/278,587/844

Given numbers are 381/176,831/278,587/844

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 381,831,587

Least Common Multiple of Numerators i.e. LCM of 381,831,587 is 61950219.

GCF of Denominators means GCF of 176,278,844 as per the given fractions.

GCF of 176,278,844 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,831,587

LCM of Fractions 381/176,831/278,587/844 is 61950219/2

3 381, 831, 587
127, 277, 587

∴ So the LCM of the given numbers is 3 x 127 x 277 x 587 = 61950219

Least Common Multiple of 381,831,587 with GCF Formula

Least Common Multiple of 381,831,587 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 381,831,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,831,587) = 1

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

GCF(381,831,587) x common factors =1 x 3 = 3

LCM(381,831,587) = ( 381 × 831 × 587 ) / 3

LCM(381,831,587) = 185850657 / 3

LCM(381,831,587) = 61950219


Lets's calculate GCF of 176,278,844

2 176, 278, 844
88, 139, 422

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61950219/2

Therefore the LCM of Fractions 381/176,831/278,587/844 is 61950219/2

Greatest Common Factor of 176,278,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,278,844 By Matching Biggest Common Factor Method

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

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 176,278,844 . The biggest common factor number is the GCF number.
So the greatest common factor 176,278,844 is 2.


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 381/176, 831/278, 587/844

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 381/176, 831/278, 587/844?

Answer: LCM of Numerators as per given numbers 381/176, 831/278, 587/844 is

LCM of Numerators i.e. for 381,831,587 is 61950219

GCF of denominators i.e. for 176,278,844 is 2.

Thus, LCM of Fractions is 61950219/2.Finally, LCM of Fractions for 381/176, 831/278, 587/844 is 61950219/2.