Least Common Multiple of 44/13, 11/84, 80/47, 68/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/13, 11/84, 80/47, 68/591 quickly i.e. 14960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/13, 11/84, 80/47, 68/591 is 14960.

LCM(44/13, 11/84, 80/47, 68/591) = 14960

LCM of 44/13, 11/84, 80/47, 68/591

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 44/13,11/84,80/47,68/591

Given numbers are 44/13,11/84,80/47,68/591

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 44,11,80,68

Least Common Multiple of Numerators i.e. LCM of 44,11,80,68 is 14960.

GCF of Denominators means GCF of 13,84,47,591 as per the given fractions.

GCF of 13,84,47,591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,11,80,68

LCM of Fractions 44/13,11/84,80/47,68/591 is 14960

2 44, 11, 80, 68
2 22, 11, 40, 34
11 11, 11, 20, 17
1, 1, 20, 17

∴ So the LCM of the given numbers is 2 x 2 x 11 x 1 x 1 x 20 x 17 = 14960

Least Common Multiple of 44,11,80,68 with GCF Formula

Least Common Multiple of 44,11,80,68 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 44,11,80,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,11,80,68) = 1

common factors(in case of two or more numbers have common factors) = 176

GCF(44,11,80,68) x common factors =1 x 176 = 176

LCM(44,11,80,68) = ( 44 × 11 × 80 × 68 ) / 176

LCM(44,11,80,68) = 2632960 / 176

LCM(44,11,80,68) = 14960


Lets's calculate GCF of 13,84,47,591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14960/1

Therefore the LCM of Fractions 44/13,11/84,80/47,68/591 is 14960

Greatest Common Factor of 13,84,47,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,84,47,591 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 13,84,47,591 . The biggest common factor number is the GCF number.
So the greatest common factor 13,84,47,591 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 44/13, 11/84, 80/47, 68/591

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 44/13, 11/84, 80/47, 68/591?

Answer: LCM of Numerators as per given numbers 44/13, 11/84, 80/47, 68/591 is

LCM of Numerators i.e. for 44,11,80,68 is 14960

GCF of denominators i.e. for 13,84,47,591 is 1.

Thus, LCM of Fractions is 14960.Finally, LCM of Fractions for 44/13, 11/84, 80/47, 68/591 is 14960.