Least Common Multiple of 50/476, 36/489, 834/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/476, 36/489, 834/165 quickly i.e. 125100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/476, 36/489, 834/165 is 125100.

LCM(50/476, 36/489, 834/165) = 125100

LCM of 50/476, 36/489, 834/165

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 50/476,36/489,834/165

Given numbers are 50/476,36/489,834/165

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 50,36,834

Least Common Multiple of Numerators i.e. LCM of 50,36,834 is 125100.

GCF of Denominators means GCF of 476,489,165 as per the given fractions.

GCF of 476,489,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,36,834

LCM of Fractions 50/476,36/489,834/165 is 125100

2 50, 36, 834
3 25, 18, 417
25, 6, 139

∴ So the LCM of the given numbers is 2 x 3 x 25 x 6 x 139 = 125100

Least Common Multiple of 50,36,834 with GCF Formula

Least Common Multiple of 50,36,834 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 50,36,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,36,834) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(50,36,834) x common factors =2 x 6 = 12

LCM(50,36,834) = ( 50 × 36 × 834 ) / 12

LCM(50,36,834) = 1501200 / 12

LCM(50,36,834) = 125100


Lets's calculate GCF of 476,489,165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125100/1

Therefore the LCM of Fractions 50/476,36/489,834/165 is 125100

Greatest Common Factor of 476,489,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,489,165 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 476,489,165 . The biggest common factor number is the GCF number.
So the greatest common factor 476,489,165 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 50/476, 36/489, 834/165

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 50/476, 36/489, 834/165?

Answer: LCM of Numerators as per given numbers 50/476, 36/489, 834/165 is

LCM of Numerators i.e. for 50,36,834 is 125100

GCF of denominators i.e. for 476,489,165 is 1.

Thus, LCM of Fractions is 125100.Finally, LCM of Fractions for 50/476, 36/489, 834/165 is 125100.