Least Common Multiple of 82/19, 78/83, 72/89, 80/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/19, 78/83, 72/89, 80/12 quickly i.e. 383760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/19, 78/83, 72/89, 80/12 is 383760.

LCM(82/19, 78/83, 72/89, 80/12) = 383760

LCM of 82/19, 78/83, 72/89, 80/12

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 82/19,78/83,72/89,80/12

Given numbers are 82/19,78/83,72/89,80/12

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 82,78,72,80

Least Common Multiple of Numerators i.e. LCM of 82,78,72,80 is 383760.

GCF of Denominators means GCF of 19,83,89,12 as per the given fractions.

GCF of 19,83,89,12 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,78,72,80

LCM of Fractions 82/19,78/83,72/89,80/12 is 383760

2 82, 78, 72, 80
2 41, 39, 36, 40
2 41, 39, 18, 20
3 41, 39, 9, 10
41, 13, 3, 10

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 41 x 13 x 3 x 10 = 383760

Least Common Multiple of 82,78,72,80 with GCF Formula

Least Common Multiple of 82,78,72,80 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 82,78,72,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,78,72,80) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(82,78,72,80) x common factors =2 x 48 = 96

LCM(82,78,72,80) = ( 82 × 78 × 72 × 80 ) / 96

LCM(82,78,72,80) = 36840960 / 96

LCM(82,78,72,80) = 383760


Lets's calculate GCF of 19,83,89,12

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 383760/1

Therefore the LCM of Fractions 82/19,78/83,72/89,80/12 is 383760

Greatest Common Factor of 19,83,89,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,83,89,12 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Greatest Common Factor

We found the factors 19,83,89,12 . The biggest common factor number is the GCF number.
So the greatest common factor 19,83,89,12 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 82/19, 78/83, 72/89, 80/12

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 82/19, 78/83, 72/89, 80/12?

Answer: LCM of Numerators as per given numbers 82/19, 78/83, 72/89, 80/12 is

LCM of Numerators i.e. for 82,78,72,80 is 383760

GCF of denominators i.e. for 19,83,89,12 is 1.

Thus, LCM of Fractions is 383760.Finally, LCM of Fractions for 82/19, 78/83, 72/89, 80/12 is 383760.