Least Common Multiple of 126/42, 3159/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 126/42, 3159/234 quickly i.e. 7371 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 126/42, 3159/234 is 7371.

LCM(126/42, 3159/234) = 7371

LCM of 126/42, 3159/234

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 126/42,3159/234

Given numbers are 126/42,3159/234

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 126,3159

Least Common Multiple of Numerators i.e. LCM of 126,3159 is 44226.

GCF of Denominators means GCF of 42,234 as per the given fractions.

GCF of 42,234 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 126,3159

LCM of Fractions 126/42,3159/234 is 7371

3 126, 3159
3 42, 1053
14, 351

∴ So the LCM of the given numbers is 3 x 3 x 14 x 351 = 44226

Least Common Multiple of 126,3159 with GCF Formula

Least Common Multiple of 126,3159 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 126,3159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,3159) = 9

common factors(in case of two or more numbers have common factors) = 1

GCF(126,3159) x common factors =9 x 1 = 9

LCM(126,3159) = ( 126 × 3159 ) / 9

LCM(126,3159) = 398034 / 9

LCM(126,3159) = 44226


Lets's calculate GCF of 42,234

2 42, 234
3 21, 117
7, 39

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44226/6

Therefore the LCM of Fractions 126/42,3159/234 is 7371

Greatest Common Factor of 42,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,234 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 42,234 . The biggest common factor number is the GCF number.
So the greatest common factor 42,234 is 6.


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 126/42, 3159/234

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 126/42, 3159/234?

Answer: LCM of Numerators as per given numbers 126/42, 3159/234 is

LCM of Numerators i.e. for 126,3159 is 44226

GCF of denominators i.e. for 42,234 is 6.

Thus, LCM of Fractions is 7371.Finally, LCM of Fractions for 126/42, 3159/234 is 7371.