Least Common Multiple of 13/82, 80/68, 80/30, 88/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/82, 80/68, 80/30, 88/805 quickly i.e. 11440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/82, 80/68, 80/30, 88/805 is 11440.

LCM(13/82, 80/68, 80/30, 88/805) = 11440

LCM of 13/82, 80/68, 80/30, 88/805

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 13/82,80/68,80/30,88/805

Given numbers are 13/82,80/68,80/30,88/805

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 13,80,80,88

Least Common Multiple of Numerators i.e. LCM of 13,80,80,88 is 11440.

GCF of Denominators means GCF of 82,68,30,805 as per the given fractions.

GCF of 82,68,30,805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,80,80,88

LCM of Fractions 13/82,80/68,80/30,88/805 is 11440

2 13, 80, 80, 88
2 13, 40, 40, 44
2 13, 20, 20, 22
2 13, 10, 10, 11
5 13, 5, 5, 11
13, 1, 1, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 13 x 1 x 1 x 11 = 11440

Least Common Multiple of 13,80,80,88 with GCF Formula

Least Common Multiple of 13,80,80,88 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 13,80,80,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,80,80,88) = 1

common factors(in case of two or more numbers have common factors) = 640

GCF(13,80,80,88) x common factors =1 x 640 = 640

LCM(13,80,80,88) = ( 13 × 80 × 80 × 88 ) / 640

LCM(13,80,80,88) = 7321600 / 640

LCM(13,80,80,88) = 11440


Lets's calculate GCF of 82,68,30,805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11440/1

Therefore the LCM of Fractions 13/82,80/68,80/30,88/805 is 11440

Greatest Common Factor of 82,68,30,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,68,30,805 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 68

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

1,2,4,17,34,68

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 82,68,30,805 . The biggest common factor number is the GCF number.
So the greatest common factor 82,68,30,805 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 13/82, 80/68, 80/30, 88/805

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 13/82, 80/68, 80/30, 88/805?

Answer: LCM of Numerators as per given numbers 13/82, 80/68, 80/30, 88/805 is

LCM of Numerators i.e. for 13,80,80,88 is 11440

GCF of denominators i.e. for 82,68,30,805 is 1.

Thus, LCM of Fractions is 11440.Finally, LCM of Fractions for 13/82, 80/68, 80/30, 88/805 is 11440.