Least Common Multiple of 31/68, 872/50, 407/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/68, 872/50, 407/832 quickly i.e. 5501012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/68, 872/50, 407/832 is 5501012.

LCM(31/68, 872/50, 407/832) = 5501012

LCM of 31/68, 872/50, 407/832

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 31/68,872/50,407/832

Given numbers are 31/68,872/50,407/832

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 31,872,407

Least Common Multiple of Numerators i.e. LCM of 31,872,407 is 11002024.

GCF of Denominators means GCF of 68,50,832 as per the given fractions.

GCF of 68,50,832 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,872,407

LCM of Fractions 31/68,872/50,407/832 is 5501012

Given numbers has no common factors except 1. So, there LCM is their product i.e 11002024

Least Common Multiple of 31,872,407 with GCF Formula

Least Common Multiple of 31,872,407 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 31,872,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,872,407) = 1

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

GCF(31,872,407) x common factors =1 x 1 = 1

LCM(31,872,407) = ( 31 × 872 × 407 ) / 1

LCM(31,872,407) = 11002024 / 1

LCM(31,872,407) = 11002024


Lets's calculate GCF of 68,50,832

2 68, 50, 832
34, 25, 416

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11002024/2

Therefore the LCM of Fractions 31/68,872/50,407/832 is 5501012

Greatest Common Factor of 68,50,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,50,832 By Matching Biggest Common Factor Method

Factors of 68

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

1,2,4,17,34,68

Factors of 50

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

1,2,5,10,25,50

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 68,50,832 . The biggest common factor number is the GCF number.
So the greatest common factor 68,50,832 is 2.


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 31/68, 872/50, 407/832

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 31/68, 872/50, 407/832?

Answer: LCM of Numerators as per given numbers 31/68, 872/50, 407/832 is

LCM of Numerators i.e. for 31,872,407 is 11002024

GCF of denominators i.e. for 68,50,832 is 2.

Thus, LCM of Fractions is 5501012.Finally, LCM of Fractions for 31/68, 872/50, 407/832 is 5501012.