Least Common Multiple of 472/942, 181/277, 205/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 472/942, 181/277, 205/520 quickly i.e. 17513560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/942, 181/277, 205/520 is 17513560.

LCM(472/942, 181/277, 205/520) = 17513560

LCM of 472/942, 181/277, 205/520

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 472/942,181/277,205/520

Given numbers are 472/942,181/277,205/520

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 472,181,205

Least Common Multiple of Numerators i.e. LCM of 472,181,205 is 17513560.

GCF of Denominators means GCF of 942,277,520 as per the given fractions.

GCF of 942,277,520 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,181,205

LCM of Fractions 472/942,181/277,205/520 is 17513560

Given numbers has no common factors except 1. So, there LCM is their product i.e 17513560

Least Common Multiple of 472,181,205 with GCF Formula

Least Common Multiple of 472,181,205 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 472,181,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,181,205) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(472,181,205) x common factors =1 x 1 = 1

LCM(472,181,205) = ( 472 × 181 × 205 ) / 1

LCM(472,181,205) = 17513560 / 1

LCM(472,181,205) = 17513560


Lets's calculate GCF of 942,277,520

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17513560/1

Therefore the LCM of Fractions 472/942,181/277,205/520 is 17513560

Greatest Common Factor of 942,277,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,277,520 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 942,277,520 . The biggest common factor number is the GCF number.
So the greatest common factor 942,277,520 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 472/942, 181/277, 205/520

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 472/942, 181/277, 205/520?

Answer: LCM of Numerators as per given numbers 472/942, 181/277, 205/520 is

LCM of Numerators i.e. for 472,181,205 is 17513560

GCF of denominators i.e. for 942,277,520 is 1.

Thus, LCM of Fractions is 17513560.Finally, LCM of Fractions for 472/942, 181/277, 205/520 is 17513560.