Least Common Multiple of 9059/486, 4040/9909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9059/486, 4040/9909 quickly i.e. 36598360/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9059/486, 4040/9909 is 36598360/27.

LCM(9059/486, 4040/9909) = 36598360/27

LCM of 9059/486, 4040/9909

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 9059/486,4040/9909

Given numbers are 9059/486,4040/9909

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 9059,4040

Least Common Multiple of Numerators i.e. LCM of 9059,4040 is 36598360.

GCF of Denominators means GCF of 486,9909 as per the given fractions.

GCF of 486,9909 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9059,4040

LCM of Fractions 9059/486,4040/9909 is 36598360/27

Given numbers has no common factors except 1. So, there LCM is their product i.e 36598360

Least Common Multiple of 9059,4040 with GCF Formula

Least Common Multiple of 9059,4040 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 9059,4040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9059,4040) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(9059,4040) x common factors =1 x 1 = 1

LCM(9059,4040) = ( 9059 × 4040 ) / 1

LCM(9059,4040) = 36598360 / 1

LCM(9059,4040) = 36598360


Lets's calculate GCF of 486,9909

3 486, 9909
3 162, 3303
3 54, 1101
18, 367

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36598360/27

Therefore the LCM of Fractions 9059/486,4040/9909 is 36598360/27

Greatest Common Factor of 486,9909 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,9909 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 9909

List of positive integer factors of 9909 that divides 9909 without a remainder.

1,3,9,27,367,1101,3303,9909

Greatest Common Factor

We found the factors 486,9909 . The biggest common factor number is the GCF number.
So the greatest common factor 486,9909 is 27.


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 9059/486, 4040/9909

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 9059/486, 4040/9909?

Answer: LCM of Numerators as per given numbers 9059/486, 4040/9909 is

LCM of Numerators i.e. for 9059,4040 is 36598360

GCF of denominators i.e. for 486,9909 is 27.

Thus, LCM of Fractions is 36598360/27.Finally, LCM of Fractions for 9059/486, 4040/9909 is 36598360/27.