Least Common Multiple of 216/59, 478/20, 764/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/59, 478/20, 764/60 quickly i.e. 9860184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/59, 478/20, 764/60 is 9860184.

LCM(216/59, 478/20, 764/60) = 9860184

LCM of 216/59, 478/20, 764/60

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 216/59,478/20,764/60

Given numbers are 216/59,478/20,764/60

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 216,478,764

Least Common Multiple of Numerators i.e. LCM of 216,478,764 is 9860184.

GCF of Denominators means GCF of 59,20,60 as per the given fractions.

GCF of 59,20,60 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,478,764

LCM of Fractions 216/59,478/20,764/60 is 9860184

2 216, 478, 764
2 108, 239, 382
54, 239, 191

∴ So the LCM of the given numbers is 2 x 2 x 54 x 239 x 191 = 9860184

Least Common Multiple of 216,478,764 with GCF Formula

Least Common Multiple of 216,478,764 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 216,478,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,478,764) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(216,478,764) x common factors =2 x 4 = 8

LCM(216,478,764) = ( 216 × 478 × 764 ) / 8

LCM(216,478,764) = 78881472 / 8

LCM(216,478,764) = 9860184


Lets's calculate GCF of 59,20,60

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9860184/1

Therefore the LCM of Fractions 216/59,478/20,764/60 is 9860184

Greatest Common Factor of 59,20,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,20,60 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Greatest Common Factor

We found the factors 59,20,60 . The biggest common factor number is the GCF number.
So the greatest common factor 59,20,60 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 216/59, 478/20, 764/60

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 216/59, 478/20, 764/60?

Answer: LCM of Numerators as per given numbers 216/59, 478/20, 764/60 is

LCM of Numerators i.e. for 216,478,764 is 9860184

GCF of denominators i.e. for 59,20,60 is 1.

Thus, LCM of Fractions is 9860184.Finally, LCM of Fractions for 216/59, 478/20, 764/60 is 9860184.