Least Common Multiple of 56/238, 54/144, 114/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/238, 54/144, 114/185 quickly i.e. 28728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/238, 54/144, 114/185 is 28728.

LCM(56/238, 54/144, 114/185) = 28728

LCM of 56/238, 54/144, 114/185

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 56/238,54/144,114/185

Given numbers are 56/238,54/144,114/185

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 56,54,114

Least Common Multiple of Numerators i.e. LCM of 56,54,114 is 28728.

GCF of Denominators means GCF of 238,144,185 as per the given fractions.

GCF of 238,144,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,54,114

LCM of Fractions 56/238,54/144,114/185 is 28728

2 56, 54, 114
3 28, 27, 57
28, 9, 19

∴ So the LCM of the given numbers is 2 x 3 x 28 x 9 x 19 = 28728

Least Common Multiple of 56,54,114 with GCF Formula

Least Common Multiple of 56,54,114 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 56,54,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,54,114) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(56,54,114) x common factors =2 x 6 = 12

LCM(56,54,114) = ( 56 × 54 × 114 ) / 12

LCM(56,54,114) = 344736 / 12

LCM(56,54,114) = 28728


Lets's calculate GCF of 238,144,185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28728/1

Therefore the LCM of Fractions 56/238,54/144,114/185 is 28728

Greatest Common Factor of 238,144,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,144,185 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 238,144,185 . The biggest common factor number is the GCF number.
So the greatest common factor 238,144,185 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 56/238, 54/144, 114/185

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 56/238, 54/144, 114/185?

Answer: LCM of Numerators as per given numbers 56/238, 54/144, 114/185 is

LCM of Numerators i.e. for 56,54,114 is 28728

GCF of denominators i.e. for 238,144,185 is 1.

Thus, LCM of Fractions is 28728.Finally, LCM of Fractions for 56/238, 54/144, 114/185 is 28728.