Least Common Multiple of 44/20, 68/91, 31/14, 20/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/20, 68/91, 31/14, 20/471 quickly i.e. 115940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/20, 68/91, 31/14, 20/471 is 115940.

LCM(44/20, 68/91, 31/14, 20/471) = 115940

LCM of 44/20, 68/91, 31/14, 20/471

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 44/20,68/91,31/14,20/471

Given numbers are 44/20,68/91,31/14,20/471

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 44,68,31,20

Least Common Multiple of Numerators i.e. LCM of 44,68,31,20 is 115940.

GCF of Denominators means GCF of 20,91,14,471 as per the given fractions.

GCF of 20,91,14,471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,68,31,20

LCM of Fractions 44/20,68/91,31/14,20/471 is 115940

2 44, 68, 31, 20
2 22, 34, 31, 10
11, 17, 31, 5

∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 31 x 5 = 115940

Least Common Multiple of 44,68,31,20 with GCF Formula

Least Common Multiple of 44,68,31,20 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 44,68,31,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,68,31,20) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(44,68,31,20) x common factors =1 x 16 = 16

LCM(44,68,31,20) = ( 44 × 68 × 31 × 20 ) / 16

LCM(44,68,31,20) = 1855040 / 16

LCM(44,68,31,20) = 115940


Lets's calculate GCF of 20,91,14,471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115940/1

Therefore the LCM of Fractions 44/20,68/91,31/14,20/471 is 115940

Greatest Common Factor of 20,91,14,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,91,14,471 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 20,91,14,471 . The biggest common factor number is the GCF number.
So the greatest common factor 20,91,14,471 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 44/20, 68/91, 31/14, 20/471

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 44/20, 68/91, 31/14, 20/471?

Answer: LCM of Numerators as per given numbers 44/20, 68/91, 31/14, 20/471 is

LCM of Numerators i.e. for 44,68,31,20 is 115940

GCF of denominators i.e. for 20,91,14,471 is 1.

Thus, LCM of Fractions is 115940.Finally, LCM of Fractions for 44/20, 68/91, 31/14, 20/471 is 115940.