Least Common Multiple of 6/42, 9/50, 6/31, 16/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/42, 9/50, 6/31, 16/852 quickly i.e. 144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/42, 9/50, 6/31, 16/852 is 144.

LCM(6/42, 9/50, 6/31, 16/852) = 144

LCM of 6/42, 9/50, 6/31, 16/852

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 6/42,9/50,6/31,16/852

Given numbers are 6/42,9/50,6/31,16/852

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 6,9,6,16

Least Common Multiple of Numerators i.e. LCM of 6,9,6,16 is 144.

GCF of Denominators means GCF of 42,50,31,852 as per the given fractions.

GCF of 42,50,31,852 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,9,6,16

LCM of Fractions 6/42,9/50,6/31,16/852 is 144

2 6, 9, 6, 16
3 3, 9, 3, 8
1, 1, 3, 8

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 3 x 8 = 144

Least Common Multiple of 6,9,6,16 with GCF Formula

Least Common Multiple of 6,9,6,16 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 6,9,6,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,9,6,16) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(6,9,6,16) x common factors =1 x 36 = 36

LCM(6,9,6,16) = ( 6 × 9 × 6 × 16 ) / 36

LCM(6,9,6,16) = 5184 / 36

LCM(6,9,6,16) = 144


Lets's calculate GCF of 42,50,31,852

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144/1

Therefore the LCM of Fractions 6/42,9/50,6/31,16/852 is 144

Greatest Common Factor of 42,50,31,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,50,31,852 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 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 42,50,31,852 . The biggest common factor number is the GCF number.
So the greatest common factor 42,50,31,852 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 6/42, 9/50, 6/31, 16/852

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 6/42, 9/50, 6/31, 16/852?

Answer: LCM of Numerators as per given numbers 6/42, 9/50, 6/31, 16/852 is

LCM of Numerators i.e. for 6,9,6,16 is 144

GCF of denominators i.e. for 42,50,31,852 is 1.

Thus, LCM of Fractions is 144.Finally, LCM of Fractions for 6/42, 9/50, 6/31, 16/852 is 144.