Least Common Multiple of 516/23, 172/36, 215/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/23, 172/36, 215/236 quickly i.e. 2580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/23, 172/36, 215/236 is 2580.

LCM(516/23, 172/36, 215/236) = 2580

LCM of 516/23, 172/36, 215/236

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 516/23,172/36,215/236

Given numbers are 516/23,172/36,215/236

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 516,172,215

Least Common Multiple of Numerators i.e. LCM of 516,172,215 is 2580.

GCF of Denominators means GCF of 23,36,236 as per the given fractions.

GCF of 23,36,236 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,172,215

LCM of Fractions 516/23,172/36,215/236 is 2580

2 516, 172, 215
2 258, 86, 215
43 129, 43, 215
3, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 43 x 3 x 1 x 5 = 2580

Least Common Multiple of 516,172,215 with GCF Formula

Least Common Multiple of 516,172,215 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 516,172,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,172,215) = 43

common factors(in case of two or more numbers have common factors) = 172

GCF(516,172,215) x common factors =43 x 172 = 7396

LCM(516,172,215) = ( 516 × 172 × 215 ) / 7396

LCM(516,172,215) = 19081680 / 7396

LCM(516,172,215) = 2580


Lets's calculate GCF of 23,36,236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2580/1

Therefore the LCM of Fractions 516/23,172/36,215/236 is 2580

Greatest Common Factor of 23,36,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,36,236 By Matching Biggest Common Factor Method

Factors of 23

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

1,23

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Greatest Common Factor

We found the factors 23,36,236 . The biggest common factor number is the GCF number.
So the greatest common factor 23,36,236 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 516/23, 172/36, 215/236

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 516/23, 172/36, 215/236?

Answer: LCM of Numerators as per given numbers 516/23, 172/36, 215/236 is

LCM of Numerators i.e. for 516,172,215 is 2580

GCF of denominators i.e. for 23,36,236 is 1.

Thus, LCM of Fractions is 2580.Finally, LCM of Fractions for 516/23, 172/36, 215/236 is 2580.