Least Common Multiple of 844/31, 337/68, 933/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 844/31, 337/68, 933/142 quickly i.e. 265371324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 844/31, 337/68, 933/142 is 265371324.

LCM(844/31, 337/68, 933/142) = 265371324

LCM of 844/31, 337/68, 933/142

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 844/31,337/68,933/142

Given numbers are 844/31,337/68,933/142

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 844,337,933

Least Common Multiple of Numerators i.e. LCM of 844,337,933 is 265371324.

GCF of Denominators means GCF of 31,68,142 as per the given fractions.

GCF of 31,68,142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 844,337,933

LCM of Fractions 844/31,337/68,933/142 is 265371324

Given numbers has no common factors except 1. So, there LCM is their product i.e 265371324

Least Common Multiple of 844,337,933 with GCF Formula

Least Common Multiple of 844,337,933 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 844,337,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,337,933) = 1

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

GCF(844,337,933) x common factors =1 x 1 = 1

LCM(844,337,933) = ( 844 × 337 × 933 ) / 1

LCM(844,337,933) = 265371324 / 1

LCM(844,337,933) = 265371324


Lets's calculate GCF of 31,68,142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265371324/1

Therefore the LCM of Fractions 844/31,337/68,933/142 is 265371324

Greatest Common Factor of 31,68,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,68,142 By Matching Biggest Common Factor Method

Factors of 31

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

1,31

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 31,68,142 . The biggest common factor number is the GCF number.
So the greatest common factor 31,68,142 is 1.


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Frequently Asked Questions on Fractional LCM of 844/31, 337/68, 933/142

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 844/31, 337/68, 933/142?

Answer: LCM of Numerators as per given numbers 844/31, 337/68, 933/142 is

LCM of Numerators i.e. for 844,337,933 is 265371324

GCF of denominators i.e. for 31,68,142 is 1.

Thus, LCM of Fractions is 265371324.Finally, LCM of Fractions for 844/31, 337/68, 933/142 is 265371324.