Least Common Multiple of 490/23, 644/69, 483/46

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/23, 644/69, 483/46 quickly i.e. 2940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/23, 644/69, 483/46 is 2940.

LCM(490/23, 644/69, 483/46) = 2940

LCM of 490/23, 644/69, 483/46

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 490/23,644/69,483/46

Given numbers are 490/23,644/69,483/46

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 490,644,483

Least Common Multiple of Numerators i.e. LCM of 490,644,483 is 67620.

GCF of Denominators means GCF of 23,69,46 as per the given fractions.

GCF of 23,69,46 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,644,483

LCM of Fractions 490/23,644/69,483/46 is 2940

2 490, 644, 483
7 245, 322, 483
23 35, 46, 69
35, 2, 3

∴ So the LCM of the given numbers is 2 x 7 x 23 x 35 x 2 x 3 = 67620

Least Common Multiple of 490,644,483 with GCF Formula

Least Common Multiple of 490,644,483 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 490,644,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,644,483) = 7

common factors(in case of two or more numbers have common factors) = 322

GCF(490,644,483) x common factors =7 x 322 = 2254

LCM(490,644,483) = ( 490 × 644 × 483 ) / 2254

LCM(490,644,483) = 152415480 / 2254

LCM(490,644,483) = 67620


Lets's calculate GCF of 23,69,46

23 23, 69, 46
1, 3, 2

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67620/23

Therefore the LCM of Fractions 490/23,644/69,483/46 is 2940

Greatest Common Factor of 23,69,46 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,69,46 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Greatest Common Factor

We found the factors 23,69,46 . The biggest common factor number is the GCF number.
So the greatest common factor 23,69,46 is 23.


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 490/23, 644/69, 483/46

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 490/23, 644/69, 483/46?

Answer: LCM of Numerators as per given numbers 490/23, 644/69, 483/46 is

LCM of Numerators i.e. for 490,644,483 is 67620

GCF of denominators i.e. for 23,69,46 is 23.

Thus, LCM of Fractions is 2940.Finally, LCM of Fractions for 490/23, 644/69, 483/46 is 2940.