Least Common Multiple of 42/38, 96/212, 144/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/38, 96/212, 144/110 quickly i.e. 1008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/38, 96/212, 144/110 is 1008.

LCM(42/38, 96/212, 144/110) = 1008

LCM of 42/38, 96/212, 144/110

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 42/38,96/212,144/110

Given numbers are 42/38,96/212,144/110

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 42,96,144

Least Common Multiple of Numerators i.e. LCM of 42,96,144 is 2016.

GCF of Denominators means GCF of 38,212,110 as per the given fractions.

GCF of 38,212,110 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,96,144

LCM of Fractions 42/38,96/212,144/110 is 1008

2 42, 96, 144
2 21, 48, 72
2 21, 24, 36
2 21, 12, 18
3 21, 6, 9
7, 2, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 2 x 3 = 2016

Least Common Multiple of 42,96,144 with GCF Formula

Least Common Multiple of 42,96,144 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 42,96,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,96,144) = 6

common factors(in case of two or more numbers have common factors) = 48

GCF(42,96,144) x common factors =6 x 48 = 288

LCM(42,96,144) = ( 42 × 96 × 144 ) / 288

LCM(42,96,144) = 580608 / 288

LCM(42,96,144) = 2016


Lets's calculate GCF of 38,212,110

2 38, 212, 110
19, 106, 55

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2016/2

Therefore the LCM of Fractions 42/38,96/212,144/110 is 1008

Greatest Common Factor of 38,212,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,212,110 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 38,212,110 . The biggest common factor number is the GCF number.
So the greatest common factor 38,212,110 is 2.


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 42/38, 96/212, 144/110

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 42/38, 96/212, 144/110?

Answer: LCM of Numerators as per given numbers 42/38, 96/212, 144/110 is

LCM of Numerators i.e. for 42,96,144 is 2016

GCF of denominators i.e. for 38,212,110 is 2.

Thus, LCM of Fractions is 1008.Finally, LCM of Fractions for 42/38, 96/212, 144/110 is 1008.