Least Common Multiple of 228/78, 237/29, 237/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/78, 237/29, 237/116 quickly i.e. 18012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/78, 237/29, 237/116 is 18012.

LCM(228/78, 237/29, 237/116) = 18012

LCM of 228/78, 237/29, 237/116

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 228/78,237/29,237/116

Given numbers are 228/78,237/29,237/116

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 228,237,237

Least Common Multiple of Numerators i.e. LCM of 228,237,237 is 18012.

GCF of Denominators means GCF of 78,29,116 as per the given fractions.

GCF of 78,29,116 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,237,237

LCM of Fractions 228/78,237/29,237/116 is 18012

3 228, 237, 237
79 76, 79, 79
76, 1, 1

∴ So the LCM of the given numbers is 3 x 79 x 76 x 1 x 1 = 18012

Least Common Multiple of 228,237,237 with GCF Formula

Least Common Multiple of 228,237,237 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 228,237,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,237,237) = 3

common factors(in case of two or more numbers have common factors) = 237

GCF(228,237,237) x common factors =3 x 237 = 711

LCM(228,237,237) = ( 228 × 237 × 237 ) / 711

LCM(228,237,237) = 12806532 / 711

LCM(228,237,237) = 18012


Lets's calculate GCF of 78,29,116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18012/1

Therefore the LCM of Fractions 228/78,237/29,237/116 is 18012

Greatest Common Factor of 78,29,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,29,116 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 78,29,116 . The biggest common factor number is the GCF number.
So the greatest common factor 78,29,116 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 228/78, 237/29, 237/116

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 228/78, 237/29, 237/116?

Answer: LCM of Numerators as per given numbers 228/78, 237/29, 237/116 is

LCM of Numerators i.e. for 228,237,237 is 18012

GCF of denominators i.e. for 78,29,116 is 1.

Thus, LCM of Fractions is 18012.Finally, LCM of Fractions for 228/78, 237/29, 237/116 is 18012.