Least Common Multiple of 57/282, 87/915, 114/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/282, 87/915, 114/236 quickly i.e. 3306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/282, 87/915, 114/236 is 3306.

LCM(57/282, 87/915, 114/236) = 3306

LCM of 57/282, 87/915, 114/236

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 57/282,87/915,114/236

Given numbers are 57/282,87/915,114/236

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 57,87,114

Least Common Multiple of Numerators i.e. LCM of 57,87,114 is 3306.

GCF of Denominators means GCF of 282,915,236 as per the given fractions.

GCF of 282,915,236 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,87,114

LCM of Fractions 57/282,87/915,114/236 is 3306

3 57, 87, 114
19 19, 29, 38
1, 29, 2

∴ So the LCM of the given numbers is 3 x 19 x 1 x 29 x 2 = 3306

Least Common Multiple of 57,87,114 with GCF Formula

Least Common Multiple of 57,87,114 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 57,87,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,87,114) = 3

common factors(in case of two or more numbers have common factors) = 57

GCF(57,87,114) x common factors =3 x 57 = 171

LCM(57,87,114) = ( 57 × 87 × 114 ) / 171

LCM(57,87,114) = 565326 / 171

LCM(57,87,114) = 3306


Lets's calculate GCF of 282,915,236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3306/1

Therefore the LCM of Fractions 57/282,87/915,114/236 is 3306

Greatest Common Factor of 282,915,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,915,236 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

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 282,915,236 . The biggest common factor number is the GCF number.
So the greatest common factor 282,915,236 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 57/282, 87/915, 114/236

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 57/282, 87/915, 114/236?

Answer: LCM of Numerators as per given numbers 57/282, 87/915, 114/236 is

LCM of Numerators i.e. for 57,87,114 is 3306

GCF of denominators i.e. for 282,915,236 is 1.

Thus, LCM of Fractions is 3306.Finally, LCM of Fractions for 57/282, 87/915, 114/236 is 3306.