Least Common Multiple of 12/99, 80/77, 40/31, 815/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/99, 80/77, 40/31, 815/20 quickly i.e. 39120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/99, 80/77, 40/31, 815/20 is 39120.

LCM(12/99, 80/77, 40/31, 815/20) = 39120

LCM of 12/99, 80/77, 40/31, 815/20

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 12/99,80/77,40/31,815/20

Given numbers are 12/99,80/77,40/31,815/20

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 12,80,40,815

Least Common Multiple of Numerators i.e. LCM of 12,80,40,815 is 39120.

GCF of Denominators means GCF of 99,77,31,20 as per the given fractions.

GCF of 99,77,31,20 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,80,40,815

LCM of Fractions 12/99,80/77,40/31,815/20 is 39120

2 12, 80, 40, 815
2 6, 40, 20, 815
2 3, 10, 20, 815
5 3, 5, 10, 815
3, 1, 2, 163

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 3 x 1 x 2 x 163 = 39120

Least Common Multiple of 12,80,40,815 with GCF Formula

Least Common Multiple of 12,80,40,815 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 12,80,40,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,80,40,815) = 1

common factors(in case of two or more numbers have common factors) = 800

GCF(12,80,40,815) x common factors =1 x 800 = 800

LCM(12,80,40,815) = ( 12 × 80 × 40 × 815 ) / 800

LCM(12,80,40,815) = 31296000 / 800

LCM(12,80,40,815) = 39120


Lets's calculate GCF of 99,77,31,20

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39120/1

Therefore the LCM of Fractions 12/99,80/77,40/31,815/20 is 39120

Greatest Common Factor of 99,77,31,20 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,77,31,20 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 31

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

1,31

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Greatest Common Factor

We found the factors 99,77,31,20 . The biggest common factor number is the GCF number.
So the greatest common factor 99,77,31,20 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 12/99, 80/77, 40/31, 815/20

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 12/99, 80/77, 40/31, 815/20?

Answer: LCM of Numerators as per given numbers 12/99, 80/77, 40/31, 815/20 is

LCM of Numerators i.e. for 12,80,40,815 is 39120

GCF of denominators i.e. for 99,77,31,20 is 1.

Thus, LCM of Fractions is 39120.Finally, LCM of Fractions for 12/99, 80/77, 40/31, 815/20 is 39120.