Least Common Multiple of 36/466, 31/171, 516/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/466, 31/171, 516/180 quickly i.e. 47988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/466, 31/171, 516/180 is 47988.

LCM(36/466, 31/171, 516/180) = 47988

LCM of 36/466, 31/171, 516/180

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 36/466,31/171,516/180

Given numbers are 36/466,31/171,516/180

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 36,31,516

Least Common Multiple of Numerators i.e. LCM of 36,31,516 is 47988.

GCF of Denominators means GCF of 466,171,180 as per the given fractions.

GCF of 466,171,180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,31,516

LCM of Fractions 36/466,31/171,516/180 is 47988

2 36, 31, 516
2 18, 31, 258
3 9, 31, 129
3, 31, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 31 x 43 = 47988

Least Common Multiple of 36,31,516 with GCF Formula

Least Common Multiple of 36,31,516 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 36,31,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,31,516) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(36,31,516) x common factors =1 x 12 = 12

LCM(36,31,516) = ( 36 × 31 × 516 ) / 12

LCM(36,31,516) = 575856 / 12

LCM(36,31,516) = 47988


Lets's calculate GCF of 466,171,180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47988/1

Therefore the LCM of Fractions 36/466,31/171,516/180 is 47988

Greatest Common Factor of 466,171,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,171,180 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 466,171,180 . The biggest common factor number is the GCF number.
So the greatest common factor 466,171,180 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 36/466, 31/171, 516/180

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 36/466, 31/171, 516/180?

Answer: LCM of Numerators as per given numbers 36/466, 31/171, 516/180 is

LCM of Numerators i.e. for 36,31,516 is 47988

GCF of denominators i.e. for 466,171,180 is 1.

Thus, LCM of Fractions is 47988.Finally, LCM of Fractions for 36/466, 31/171, 516/180 is 47988.