Least Common Multiple of 31/80, 31/86, 63/33, 56/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/80, 31/86, 63/33, 56/500 quickly i.e. 15624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/80, 31/86, 63/33, 56/500 is 15624.

LCM(31/80, 31/86, 63/33, 56/500) = 15624

LCM of 31/80, 31/86, 63/33, 56/500

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 31/80,31/86,63/33,56/500

Given numbers are 31/80,31/86,63/33,56/500

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 31,31,63,56

Least Common Multiple of Numerators i.e. LCM of 31,31,63,56 is 15624.

GCF of Denominators means GCF of 80,86,33,500 as per the given fractions.

GCF of 80,86,33,500 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,31,63,56

LCM of Fractions 31/80,31/86,63/33,56/500 is 15624

7 31, 31, 63, 56
31 31, 31, 9, 8
1, 1, 9, 8

∴ So the LCM of the given numbers is 7 x 31 x 1 x 1 x 9 x 8 = 15624

Least Common Multiple of 31,31,63,56 with GCF Formula

Least Common Multiple of 31,31,63,56 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 31,31,63,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,31,63,56) = 1

common factors(in case of two or more numbers have common factors) = 217

GCF(31,31,63,56) x common factors =1 x 217 = 217

LCM(31,31,63,56) = ( 31 × 31 × 63 × 56 ) / 217

LCM(31,31,63,56) = 3390408 / 217

LCM(31,31,63,56) = 15624


Lets's calculate GCF of 80,86,33,500

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15624/1

Therefore the LCM of Fractions 31/80,31/86,63/33,56/500 is 15624

Greatest Common Factor of 80,86,33,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,86,33,500 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 33

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

1,3,11,33

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 80,86,33,500 . The biggest common factor number is the GCF number.
So the greatest common factor 80,86,33,500 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 31/80, 31/86, 63/33, 56/500

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 31/80, 31/86, 63/33, 56/500?

Answer: LCM of Numerators as per given numbers 31/80, 31/86, 63/33, 56/500 is

LCM of Numerators i.e. for 31,31,63,56 is 15624

GCF of denominators i.e. for 80,86,33,500 is 1.

Thus, LCM of Fractions is 15624.Finally, LCM of Fractions for 31/80, 31/86, 63/33, 56/500 is 15624.