Least Common Multiple of 50/472, 305/23, 180/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/472, 305/23, 180/772 quickly i.e. 54900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/472, 305/23, 180/772 is 54900.

LCM(50/472, 305/23, 180/772) = 54900

LCM of 50/472, 305/23, 180/772

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 50/472,305/23,180/772

Given numbers are 50/472,305/23,180/772

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 50,305,180

Least Common Multiple of Numerators i.e. LCM of 50,305,180 is 54900.

GCF of Denominators means GCF of 472,23,772 as per the given fractions.

GCF of 472,23,772 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,305,180

LCM of Fractions 50/472,305/23,180/772 is 54900

2 50, 305, 180
5 25, 305, 90
5, 61, 18

∴ So the LCM of the given numbers is 2 x 5 x 5 x 61 x 18 = 54900

Least Common Multiple of 50,305,180 with GCF Formula

Least Common Multiple of 50,305,180 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 50,305,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,305,180) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(50,305,180) x common factors =5 x 10 = 50

LCM(50,305,180) = ( 50 × 305 × 180 ) / 50

LCM(50,305,180) = 2745000 / 50

LCM(50,305,180) = 54900


Lets's calculate GCF of 472,23,772

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54900/1

Therefore the LCM of Fractions 50/472,305/23,180/772 is 54900

Greatest Common Factor of 472,23,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,23,772 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 472,23,772 . The biggest common factor number is the GCF number.
So the greatest common factor 472,23,772 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 50/472, 305/23, 180/772

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 50/472, 305/23, 180/772?

Answer: LCM of Numerators as per given numbers 50/472, 305/23, 180/772 is

LCM of Numerators i.e. for 50,305,180 is 54900

GCF of denominators i.e. for 472,23,772 is 1.

Thus, LCM of Fractions is 54900.Finally, LCM of Fractions for 50/472, 305/23, 180/772 is 54900.