Least Common Multiple of 817/57, 678/87, 315/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 817/57, 678/87, 315/186 quickly i.e. 19387410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/57, 678/87, 315/186 is 19387410.

LCM(817/57, 678/87, 315/186) = 19387410

LCM of 817/57, 678/87, 315/186

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 817/57,678/87,315/186

Given numbers are 817/57,678/87,315/186

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 817,678,315

Least Common Multiple of Numerators i.e. LCM of 817,678,315 is 58162230.

GCF of Denominators means GCF of 57,87,186 as per the given fractions.

GCF of 57,87,186 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,678,315

LCM of Fractions 817/57,678/87,315/186 is 19387410

3 817, 678, 315
817, 226, 105

∴ So the LCM of the given numbers is 3 x 817 x 226 x 105 = 58162230

Least Common Multiple of 817,678,315 with GCF Formula

Least Common Multiple of 817,678,315 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 817,678,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,678,315) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(817,678,315) x common factors =1 x 3 = 3

LCM(817,678,315) = ( 817 × 678 × 315 ) / 3

LCM(817,678,315) = 174486690 / 3

LCM(817,678,315) = 58162230


Lets's calculate GCF of 57,87,186

3 57, 87, 186
19, 29, 62

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58162230/3

Therefore the LCM of Fractions 817/57,678/87,315/186 is 19387410

Greatest Common Factor of 57,87,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,87,186 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 57,87,186 . The biggest common factor number is the GCF number.
So the greatest common factor 57,87,186 is 3.


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 817/57, 678/87, 315/186

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 817/57, 678/87, 315/186?

Answer: LCM of Numerators as per given numbers 817/57, 678/87, 315/186 is

LCM of Numerators i.e. for 817,678,315 is 58162230

GCF of denominators i.e. for 57,87,186 is 3.

Thus, LCM of Fractions is 19387410.Finally, LCM of Fractions for 817/57, 678/87, 315/186 is 19387410.