Least Common Multiple of 59/165, 354/238, 950/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/165, 354/238, 950/579 quickly i.e. 168150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/165, 354/238, 950/579 is 168150.

LCM(59/165, 354/238, 950/579) = 168150

LCM of 59/165, 354/238, 950/579

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 59/165,354/238,950/579

Given numbers are 59/165,354/238,950/579

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 59,354,950

Least Common Multiple of Numerators i.e. LCM of 59,354,950 is 168150.

GCF of Denominators means GCF of 165,238,579 as per the given fractions.

GCF of 165,238,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,354,950

LCM of Fractions 59/165,354/238,950/579 is 168150

2 59, 354, 950
59 59, 177, 475
1, 3, 475

∴ So the LCM of the given numbers is 2 x 59 x 1 x 3 x 475 = 168150

Least Common Multiple of 59,354,950 with GCF Formula

Least Common Multiple of 59,354,950 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 59,354,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,354,950) = 1

common factors(in case of two or more numbers have common factors) = 118

GCF(59,354,950) x common factors =1 x 118 = 118

LCM(59,354,950) = ( 59 × 354 × 950 ) / 118

LCM(59,354,950) = 19841700 / 118

LCM(59,354,950) = 168150


Lets's calculate GCF of 165,238,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168150/1

Therefore the LCM of Fractions 59/165,354/238,950/579 is 168150

Greatest Common Factor of 165,238,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,238,579 By Matching Biggest Common Factor Method

Factors of 165

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

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

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 165,238,579 . The biggest common factor number is the GCF number.
So the greatest common factor 165,238,579 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 59/165, 354/238, 950/579

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 59/165, 354/238, 950/579?

Answer: LCM of Numerators as per given numbers 59/165, 354/238, 950/579 is

LCM of Numerators i.e. for 59,354,950 is 168150

GCF of denominators i.e. for 165,238,579 is 1.

Thus, LCM of Fractions is 168150.Finally, LCM of Fractions for 59/165, 354/238, 950/579 is 168150.