Least Common Multiple of 409/260, 183/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 409/260, 183/390 quickly i.e. 74847/130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 409/260, 183/390 is 74847/130.

LCM(409/260, 183/390) = 74847/130

LCM of 409/260, 183/390

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 409/260,183/390

Given numbers are 409/260,183/390

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 409,183

Least Common Multiple of Numerators i.e. LCM of 409,183 is 74847.

GCF of Denominators means GCF of 260,390 as per the given fractions.

GCF of 260,390 is 130 as it is the largest common factor for these numbers.

Lets's calculate LCM of 409,183

LCM of Fractions 409/260,183/390 is 74847/130

Given numbers has no common factors except 1. So, there LCM is their product i.e 74847

Least Common Multiple of 409,183 with GCF Formula

Least Common Multiple of 409,183 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 409,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,183) = 1

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

GCF(409,183) x common factors =1 x 1 = 1

LCM(409,183) = ( 409 × 183 ) / 1

LCM(409,183) = 74847 / 1

LCM(409,183) = 74847


Lets's calculate GCF of 260,390

2 260, 390
5 130, 195
13 26, 39
2, 3

∴ So the GCF of the given numbers is 2 x 5 x 13 = 130

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74847/130

Therefore the LCM of Fractions 409/260,183/390 is 74847/130

Greatest Common Factor of 260,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,390 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 260,390 . The biggest common factor number is the GCF number.
So the greatest common factor 260,390 is 130.


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 409/260, 183/390

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 409/260, 183/390?

Answer: LCM of Numerators as per given numbers 409/260, 183/390 is

LCM of Numerators i.e. for 409,183 is 74847

GCF of denominators i.e. for 260,390 is 130.

Thus, LCM of Fractions is 74847/130.Finally, LCM of Fractions for 409/260, 183/390 is 74847/130.