Least Common Multiple of 9/25, 8/20, 94/43, 40/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9/25, 8/20, 94/43, 40/481 quickly i.e. 16920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/25, 8/20, 94/43, 40/481 is 16920.

LCM(9/25, 8/20, 94/43, 40/481) = 16920

LCM of 9/25, 8/20, 94/43, 40/481

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 9/25,8/20,94/43,40/481

Given numbers are 9/25,8/20,94/43,40/481

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 9,8,94,40

Least Common Multiple of Numerators i.e. LCM of 9,8,94,40 is 16920.

GCF of Denominators means GCF of 25,20,43,481 as per the given fractions.

GCF of 25,20,43,481 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,8,94,40

LCM of Fractions 9/25,8/20,94/43,40/481 is 16920

2 9, 8, 94, 40
2 9, 4, 47, 20
2 9, 2, 47, 10
9, 1, 47, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 1 x 47 x 5 = 16920

Least Common Multiple of 9,8,94,40 with GCF Formula

Least Common Multiple of 9,8,94,40 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 9,8,94,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,8,94,40) = 1

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

GCF(9,8,94,40) x common factors =1 x 16 = 16

LCM(9,8,94,40) = ( 9 × 8 × 94 × 40 ) / 16

LCM(9,8,94,40) = 270720 / 16

LCM(9,8,94,40) = 16920


Lets's calculate GCF of 25,20,43,481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16920/1

Therefore the LCM of Fractions 9/25,8/20,94/43,40/481 is 16920

Greatest Common Factor of 25,20,43,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,20,43,481 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 20

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

1,2,4,5,10,20

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 25,20,43,481 . The biggest common factor number is the GCF number.
So the greatest common factor 25,20,43,481 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9/25, 8/20, 94/43, 40/481

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 9/25, 8/20, 94/43, 40/481?

Answer: LCM of Numerators as per given numbers 9/25, 8/20, 94/43, 40/481 is

LCM of Numerators i.e. for 9,8,94,40 is 16920

GCF of denominators i.e. for 25,20,43,481 is 1.

Thus, LCM of Fractions is 16920.Finally, LCM of Fractions for 9/25, 8/20, 94/43, 40/481 is 16920.