Least Common Multiple of 80/71, 83/17, 93/44, 66/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/71, 83/17, 93/44, 66/579 quickly i.e. 6792720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/71, 83/17, 93/44, 66/579 is 6792720.

LCM(80/71, 83/17, 93/44, 66/579) = 6792720

LCM of 80/71, 83/17, 93/44, 66/579

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 80/71,83/17,93/44,66/579

Given numbers are 80/71,83/17,93/44,66/579

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 80,83,93,66

Least Common Multiple of Numerators i.e. LCM of 80,83,93,66 is 6792720.

GCF of Denominators means GCF of 71,17,44,579 as per the given fractions.

GCF of 71,17,44,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,83,93,66

LCM of Fractions 80/71,83/17,93/44,66/579 is 6792720

2 80, 83, 93, 66
3 40, 83, 93, 33
40, 83, 31, 11

∴ So the LCM of the given numbers is 2 x 3 x 40 x 83 x 31 x 11 = 6792720

Least Common Multiple of 80,83,93,66 with GCF Formula

Least Common Multiple of 80,83,93,66 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 80,83,93,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,83,93,66) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(80,83,93,66) x common factors =1 x 6 = 6

LCM(80,83,93,66) = ( 80 × 83 × 93 × 66 ) / 6

LCM(80,83,93,66) = 40756320 / 6

LCM(80,83,93,66) = 6792720


Lets's calculate GCF of 71,17,44,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6792720/1

Therefore the LCM of Fractions 80/71,83/17,93/44,66/579 is 6792720

Greatest Common Factor of 71,17,44,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,17,44,579 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 71,17,44,579 . The biggest common factor number is the GCF number.
So the greatest common factor 71,17,44,579 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 80/71, 83/17, 93/44, 66/579

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 80/71, 83/17, 93/44, 66/579?

Answer: LCM of Numerators as per given numbers 80/71, 83/17, 93/44, 66/579 is

LCM of Numerators i.e. for 80,83,93,66 is 6792720

GCF of denominators i.e. for 71,17,44,579 is 1.

Thus, LCM of Fractions is 6792720.Finally, LCM of Fractions for 80/71, 83/17, 93/44, 66/579 is 6792720.