Least Common Multiple of 21/259, 9259/3404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/259, 9259/3404 quickly i.e. 194439/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/259, 9259/3404 is 194439/37.

LCM(21/259, 9259/3404) = 194439/37

LCM of 21/259, 9259/3404

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 21/259,9259/3404

Given numbers are 21/259,9259/3404

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 21,9259

Least Common Multiple of Numerators i.e. LCM of 21,9259 is 194439.

GCF of Denominators means GCF of 259,3404 as per the given fractions.

GCF of 259,3404 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,9259

LCM of Fractions 21/259,9259/3404 is 194439/37

Given numbers has no common factors except 1. So, there LCM is their product i.e 194439

Least Common Multiple of 21,9259 with GCF Formula

Least Common Multiple of 21,9259 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 21,9259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,9259) = 1

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

GCF(21,9259) x common factors =1 x 1 = 1

LCM(21,9259) = ( 21 × 9259 ) / 1

LCM(21,9259) = 194439 / 1

LCM(21,9259) = 194439


Lets's calculate GCF of 259,3404

37 259, 3404
7, 92

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194439/37

Therefore the LCM of Fractions 21/259,9259/3404 is 194439/37

Greatest Common Factor of 259,3404 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,3404 By Matching Biggest Common Factor Method

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 3404

List of positive integer factors of 3404 that divides 3404 without a remainder.

1,2,4,23,37,46,74,92,148,851,1702,3404

Greatest Common Factor

We found the factors 259,3404 . The biggest common factor number is the GCF number.
So the greatest common factor 259,3404 is 37.


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 21/259, 9259/3404

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 21/259, 9259/3404?

Answer: LCM of Numerators as per given numbers 21/259, 9259/3404 is

LCM of Numerators i.e. for 21,9259 is 194439

GCF of denominators i.e. for 259,3404 is 37.

Thus, LCM of Fractions is 194439/37.Finally, LCM of Fractions for 21/259, 9259/3404 is 194439/37.