Least Common Multiple of 831/33, 742/56, 644/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 831/33, 742/56, 644/71 quickly i.e. 28363692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 831/33, 742/56, 644/71 is 28363692.

LCM(831/33, 742/56, 644/71) = 28363692

LCM of 831/33, 742/56, 644/71

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 831/33,742/56,644/71

Given numbers are 831/33,742/56,644/71

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 831,742,644

Least Common Multiple of Numerators i.e. LCM of 831,742,644 is 28363692.

GCF of Denominators means GCF of 33,56,71 as per the given fractions.

GCF of 33,56,71 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 831,742,644

LCM of Fractions 831/33,742/56,644/71 is 28363692

2 831, 742, 644
7 831, 371, 322
831, 53, 46

∴ So the LCM of the given numbers is 2 x 7 x 831 x 53 x 46 = 28363692

Least Common Multiple of 831,742,644 with GCF Formula

Least Common Multiple of 831,742,644 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 831,742,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,742,644) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(831,742,644) x common factors =1 x 14 = 14

LCM(831,742,644) = ( 831 × 742 × 644 ) / 14

LCM(831,742,644) = 397091688 / 14

LCM(831,742,644) = 28363692


Lets's calculate GCF of 33,56,71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28363692/1

Therefore the LCM of Fractions 831/33,742/56,644/71 is 28363692

Greatest Common Factor of 33,56,71 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,56,71 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Greatest Common Factor

We found the factors 33,56,71 . The biggest common factor number is the GCF number.
So the greatest common factor 33,56,71 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 831/33, 742/56, 644/71

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 831/33, 742/56, 644/71?

Answer: LCM of Numerators as per given numbers 831/33, 742/56, 644/71 is

LCM of Numerators i.e. for 831,742,644 is 28363692

GCF of denominators i.e. for 33,56,71 is 1.

Thus, LCM of Fractions is 28363692.Finally, LCM of Fractions for 831/33, 742/56, 644/71 is 28363692.