Least Common Multiple of 111/42, 159/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 111/42, 159/868 quickly i.e. 5883/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 111/42, 159/868 is 5883/14.

LCM(111/42, 159/868) = 5883/14

LCM of 111/42, 159/868

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 111/42,159/868

Given numbers are 111/42,159/868

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 111,159

Least Common Multiple of Numerators i.e. LCM of 111,159 is 5883.

GCF of Denominators means GCF of 42,868 as per the given fractions.

GCF of 42,868 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 111,159

LCM of Fractions 111/42,159/868 is 5883/14

3 111, 159
37, 53

∴ So the LCM of the given numbers is 3 x 37 x 53 = 5883

Least Common Multiple of 111,159 with GCF Formula

Least Common Multiple of 111,159 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 111,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,159) = 3

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

GCF(111,159) x common factors =3 x 1 = 3

LCM(111,159) = ( 111 × 159 ) / 3

LCM(111,159) = 17649 / 3

LCM(111,159) = 5883


Lets's calculate GCF of 42,868

2 42, 868
7 21, 434
3, 62

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5883/14

Therefore the LCM of Fractions 111/42,159/868 is 5883/14

Greatest Common Factor of 42,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,868 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 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 42,868 . The biggest common factor number is the GCF number.
So the greatest common factor 42,868 is 14.


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 111/42, 159/868

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 111/42, 159/868?

Answer: LCM of Numerators as per given numbers 111/42, 159/868 is

LCM of Numerators i.e. for 111,159 is 5883

GCF of denominators i.e. for 42,868 is 14.

Thus, LCM of Fractions is 5883/14.Finally, LCM of Fractions for 111/42, 159/868 is 5883/14.