Least Common Multiple of 19/188, 54/415, 110/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/188, 54/415, 110/144 quickly i.e. 56430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/188, 54/415, 110/144 is 56430.

LCM(19/188, 54/415, 110/144) = 56430

LCM of 19/188, 54/415, 110/144

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 19/188,54/415,110/144

Given numbers are 19/188,54/415,110/144

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 19,54,110

Least Common Multiple of Numerators i.e. LCM of 19,54,110 is 56430.

GCF of Denominators means GCF of 188,415,144 as per the given fractions.

GCF of 188,415,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,54,110

LCM of Fractions 19/188,54/415,110/144 is 56430

2 19, 54, 110
19, 27, 55

∴ So the LCM of the given numbers is 2 x 19 x 27 x 55 = 56430

Least Common Multiple of 19,54,110 with GCF Formula

Least Common Multiple of 19,54,110 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 19,54,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,54,110) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(19,54,110) x common factors =1 x 2 = 2

LCM(19,54,110) = ( 19 × 54 × 110 ) / 2

LCM(19,54,110) = 112860 / 2

LCM(19,54,110) = 56430


Lets's calculate GCF of 188,415,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56430/1

Therefore the LCM of Fractions 19/188,54/415,110/144 is 56430

Greatest Common Factor of 188,415,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,415,144 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

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

Greatest Common Factor

We found the factors 188,415,144 . The biggest common factor number is the GCF number.
So the greatest common factor 188,415,144 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 19/188, 54/415, 110/144

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 19/188, 54/415, 110/144?

Answer: LCM of Numerators as per given numbers 19/188, 54/415, 110/144 is

LCM of Numerators i.e. for 19,54,110 is 56430

GCF of denominators i.e. for 188,415,144 is 1.

Thus, LCM of Fractions is 56430.Finally, LCM of Fractions for 19/188, 54/415, 110/144 is 56430.