Least Common Multiple of 2090/401, 9824/2105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2090/401, 9824/2105 quickly i.e. 10266080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2090/401, 9824/2105 is 10266080.

LCM(2090/401, 9824/2105) = 10266080

LCM of 2090/401, 9824/2105

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 2090/401,9824/2105

Given numbers are 2090/401,9824/2105

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 2090,9824

Least Common Multiple of Numerators i.e. LCM of 2090,9824 is 10266080.

GCF of Denominators means GCF of 401,2105 as per the given fractions.

GCF of 401,2105 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2090,9824

LCM of Fractions 2090/401,9824/2105 is 10266080

2 2090, 9824
1045, 4912

∴ So the LCM of the given numbers is 2 x 1045 x 4912 = 10266080

Least Common Multiple of 2090,9824 with GCF Formula

Least Common Multiple of 2090,9824 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 2090,9824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2090,9824) = 2

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

GCF(2090,9824) x common factors =2 x 1 = 2

LCM(2090,9824) = ( 2090 × 9824 ) / 2

LCM(2090,9824) = 20532160 / 2

LCM(2090,9824) = 10266080


Lets's calculate GCF of 401,2105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10266080/1

Therefore the LCM of Fractions 2090/401,9824/2105 is 10266080

Greatest Common Factor of 401,2105 By Matching Biggest Common Factor Method

Greatest Common Factor of 401,2105 By Matching Biggest Common Factor Method

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 2105

List of positive integer factors of 2105 that divides 2105 without a remainder.

1,5,421,2105

Greatest Common Factor

We found the factors 401,2105 . The biggest common factor number is the GCF number.
So the greatest common factor 401,2105 is 1.


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 2090/401, 9824/2105

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 2090/401, 9824/2105?

Answer: LCM of Numerators as per given numbers 2090/401, 9824/2105 is

LCM of Numerators i.e. for 2090,9824 is 10266080

GCF of denominators i.e. for 401,2105 is 1.

Thus, LCM of Fractions is 10266080.Finally, LCM of Fractions for 2090/401, 9824/2105 is 10266080.