Least Common Multiple of 31/96, 62/66, 833/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/96, 62/66, 833/483 quickly i.e. 51646/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/96, 62/66, 833/483 is 51646/3.

LCM(31/96, 62/66, 833/483) = 51646/3

LCM of 31/96, 62/66, 833/483

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 31/96,62/66,833/483

Given numbers are 31/96,62/66,833/483

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 31,62,833

Least Common Multiple of Numerators i.e. LCM of 31,62,833 is 51646.

GCF of Denominators means GCF of 96,66,483 as per the given fractions.

GCF of 96,66,483 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,62,833

LCM of Fractions 31/96,62/66,833/483 is 51646/3

31 31, 62, 833
1, 2, 833

∴ So the LCM of the given numbers is 31 x 1 x 2 x 833 = 51646

Least Common Multiple of 31,62,833 with GCF Formula

Least Common Multiple of 31,62,833 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 31,62,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,62,833) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(31,62,833) x common factors =1 x 31 = 31

LCM(31,62,833) = ( 31 × 62 × 833 ) / 31

LCM(31,62,833) = 1601026 / 31

LCM(31,62,833) = 51646


Lets's calculate GCF of 96,66,483

3 96, 66, 483
32, 22, 161

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51646/3

Therefore the LCM of Fractions 31/96,62/66,833/483 is 51646/3

Greatest Common Factor of 96,66,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,66,483 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 96,66,483 . The biggest common factor number is the GCF number.
So the greatest common factor 96,66,483 is 3.


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 31/96, 62/66, 833/483

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 31/96, 62/66, 833/483?

Answer: LCM of Numerators as per given numbers 31/96, 62/66, 833/483 is

LCM of Numerators i.e. for 31,62,833 is 51646

GCF of denominators i.e. for 96,66,483 is 3.

Thus, LCM of Fractions is 51646/3.Finally, LCM of Fractions for 31/96, 62/66, 833/483 is 51646/3.