Least Common Multiple of 50/317, 138/322, 120/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/317, 138/322, 120/147 quickly i.e. 13800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/317, 138/322, 120/147 is 13800.

LCM(50/317, 138/322, 120/147) = 13800

LCM of 50/317, 138/322, 120/147

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 50/317,138/322,120/147

Given numbers are 50/317,138/322,120/147

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 50,138,120

Least Common Multiple of Numerators i.e. LCM of 50,138,120 is 13800.

GCF of Denominators means GCF of 317,322,147 as per the given fractions.

GCF of 317,322,147 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,138,120

LCM of Fractions 50/317,138/322,120/147 is 13800

2 50, 138, 120
3 25, 69, 60
5 25, 23, 20
5, 23, 4

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 23 x 4 = 13800

Least Common Multiple of 50,138,120 with GCF Formula

Least Common Multiple of 50,138,120 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 50,138,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,138,120) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(50,138,120) x common factors =2 x 30 = 60

LCM(50,138,120) = ( 50 × 138 × 120 ) / 60

LCM(50,138,120) = 828000 / 60

LCM(50,138,120) = 13800


Lets's calculate GCF of 317,322,147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13800/1

Therefore the LCM of Fractions 50/317,138/322,120/147 is 13800

Greatest Common Factor of 317,322,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,322,147 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 317,322,147 . The biggest common factor number is the GCF number.
So the greatest common factor 317,322,147 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 50/317, 138/322, 120/147

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 50/317, 138/322, 120/147?

Answer: LCM of Numerators as per given numbers 50/317, 138/322, 120/147 is

LCM of Numerators i.e. for 50,138,120 is 13800

GCF of denominators i.e. for 317,322,147 is 1.

Thus, LCM of Fractions is 13800.Finally, LCM of Fractions for 50/317, 138/322, 120/147 is 13800.