Least Common Multiple of 50/318, 59/358, 102/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/318, 59/358, 102/168 quickly i.e. 75225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/318, 59/358, 102/168 is 75225.

LCM(50/318, 59/358, 102/168) = 75225

LCM of 50/318, 59/358, 102/168

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 50/318,59/358,102/168

Given numbers are 50/318,59/358,102/168

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 50,59,102

Least Common Multiple of Numerators i.e. LCM of 50,59,102 is 150450.

GCF of Denominators means GCF of 318,358,168 as per the given fractions.

GCF of 318,358,168 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,59,102

LCM of Fractions 50/318,59/358,102/168 is 75225

2 50, 59, 102
25, 59, 51

∴ So the LCM of the given numbers is 2 x 25 x 59 x 51 = 150450

Least Common Multiple of 50,59,102 with GCF Formula

Least Common Multiple of 50,59,102 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 50,59,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,59,102) = 1

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

GCF(50,59,102) x common factors =1 x 2 = 2

LCM(50,59,102) = ( 50 × 59 × 102 ) / 2

LCM(50,59,102) = 300900 / 2

LCM(50,59,102) = 150450


Lets's calculate GCF of 318,358,168

2 318, 358, 168
159, 179, 84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150450/2

Therefore the LCM of Fractions 50/318,59/358,102/168 is 75225

Greatest Common Factor of 318,358,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,358,168 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 318,358,168 . The biggest common factor number is the GCF number.
So the greatest common factor 318,358,168 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 50/318, 59/358, 102/168

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 50/318, 59/358, 102/168?

Answer: LCM of Numerators as per given numbers 50/318, 59/358, 102/168 is

LCM of Numerators i.e. for 50,59,102 is 150450

GCF of denominators i.e. for 318,358,168 is 2.

Thus, LCM of Fractions is 75225.Finally, LCM of Fractions for 50/318, 59/358, 102/168 is 75225.