Least Common Multiple of 2585/405, 9049/2682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2585/405, 9049/2682 quickly i.e. 23391665/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2585/405, 9049/2682 is 23391665/9.

LCM(2585/405, 9049/2682) = 23391665/9

LCM of 2585/405, 9049/2682

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 2585/405,9049/2682

Given numbers are 2585/405,9049/2682

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 2585,9049

Least Common Multiple of Numerators i.e. LCM of 2585,9049 is 23391665.

GCF of Denominators means GCF of 405,2682 as per the given fractions.

GCF of 405,2682 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2585,9049

LCM of Fractions 2585/405,9049/2682 is 23391665/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 23391665

Least Common Multiple of 2585,9049 with GCF Formula

Least Common Multiple of 2585,9049 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 2585,9049 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2585,9049) = 1

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

GCF(2585,9049) x common factors =1 x 1 = 1

LCM(2585,9049) = ( 2585 × 9049 ) / 1

LCM(2585,9049) = 23391665 / 1

LCM(2585,9049) = 23391665


Lets's calculate GCF of 405,2682

3 405, 2682
3 135, 894
45, 298

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23391665/9

Therefore the LCM of Fractions 2585/405,9049/2682 is 23391665/9

Greatest Common Factor of 405,2682 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,2682 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 2682

List of positive integer factors of 2682 that divides 2682 without a remainder.

1,2,3,6,9,18,149,298,447,894,1341,2682

Greatest Common Factor

We found the factors 405,2682 . The biggest common factor number is the GCF number.
So the greatest common factor 405,2682 is 9.


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 2585/405, 9049/2682

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 2585/405, 9049/2682?

Answer: LCM of Numerators as per given numbers 2585/405, 9049/2682 is

LCM of Numerators i.e. for 2585,9049 is 23391665

GCF of denominators i.e. for 405,2682 is 9.

Thus, LCM of Fractions is 23391665/9.Finally, LCM of Fractions for 2585/405, 9049/2682 is 23391665/9.