Least Common Multiple of 490/353, 409/405, 215/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/353, 409/405, 215/128 quickly i.e. 8617630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/353, 409/405, 215/128 is 8617630.

LCM(490/353, 409/405, 215/128) = 8617630

LCM of 490/353, 409/405, 215/128

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 490/353,409/405,215/128

Given numbers are 490/353,409/405,215/128

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 490,409,215

Least Common Multiple of Numerators i.e. LCM of 490,409,215 is 8617630.

GCF of Denominators means GCF of 353,405,128 as per the given fractions.

GCF of 353,405,128 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,409,215

LCM of Fractions 490/353,409/405,215/128 is 8617630

5 490, 409, 215
98, 409, 43

∴ So the LCM of the given numbers is 5 x 98 x 409 x 43 = 8617630

Least Common Multiple of 490,409,215 with GCF Formula

Least Common Multiple of 490,409,215 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 490,409,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,409,215) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(490,409,215) x common factors =1 x 5 = 5

LCM(490,409,215) = ( 490 × 409 × 215 ) / 5

LCM(490,409,215) = 43088150 / 5

LCM(490,409,215) = 8617630


Lets's calculate GCF of 353,405,128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8617630/1

Therefore the LCM of Fractions 490/353,409/405,215/128 is 8617630

Greatest Common Factor of 353,405,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,405,128 By Matching Biggest Common Factor Method

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 353,405,128 . The biggest common factor number is the GCF number.
So the greatest common factor 353,405,128 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 490/353, 409/405, 215/128

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 490/353, 409/405, 215/128?

Answer: LCM of Numerators as per given numbers 490/353, 409/405, 215/128 is

LCM of Numerators i.e. for 490,409,215 is 8617630

GCF of denominators i.e. for 353,405,128 is 1.

Thus, LCM of Fractions is 8617630.Finally, LCM of Fractions for 490/353, 409/405, 215/128 is 8617630.