Least Common Multiple of 406/481, 6021/6890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 406/481, 6021/6890 quickly i.e. 2444526/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 406/481, 6021/6890 is 2444526/13.

LCM(406/481, 6021/6890) = 2444526/13

LCM of 406/481, 6021/6890

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 406/481,6021/6890

Given numbers are 406/481,6021/6890

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 406,6021

Least Common Multiple of Numerators i.e. LCM of 406,6021 is 2444526.

GCF of Denominators means GCF of 481,6890 as per the given fractions.

GCF of 481,6890 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 406,6021

LCM of Fractions 406/481,6021/6890 is 2444526/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 2444526

Least Common Multiple of 406,6021 with GCF Formula

Least Common Multiple of 406,6021 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 406,6021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,6021) = 1

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

GCF(406,6021) x common factors =1 x 1 = 1

LCM(406,6021) = ( 406 × 6021 ) / 1

LCM(406,6021) = 2444526 / 1

LCM(406,6021) = 2444526


Lets's calculate GCF of 481,6890

13 481, 6890
37, 530

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2444526/13

Therefore the LCM of Fractions 406/481,6021/6890 is 2444526/13

Greatest Common Factor of 481,6890 By Matching Biggest Common Factor Method

Greatest Common Factor of 481,6890 By Matching Biggest Common Factor Method

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 6890

List of positive integer factors of 6890 that divides 6890 without a remainder.

1,2,5,10,13,26,53,65,106,130,265,530,689,1378,3445,6890

Greatest Common Factor

We found the factors 481,6890 . The biggest common factor number is the GCF number.
So the greatest common factor 481,6890 is 13.


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 406/481, 6021/6890

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 406/481, 6021/6890?

Answer: LCM of Numerators as per given numbers 406/481, 6021/6890 is

LCM of Numerators i.e. for 406,6021 is 2444526

GCF of denominators i.e. for 481,6890 is 13.

Thus, LCM of Fractions is 2444526/13.Finally, LCM of Fractions for 406/481, 6021/6890 is 2444526/13.