Least Common Multiple of 308/309, 382/173, 409/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/309, 382/173, 409/190 quickly i.e. 24060652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/309, 382/173, 409/190 is 24060652.

LCM(308/309, 382/173, 409/190) = 24060652

LCM of 308/309, 382/173, 409/190

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 308/309,382/173,409/190

Given numbers are 308/309,382/173,409/190

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 308,382,409

Least Common Multiple of Numerators i.e. LCM of 308,382,409 is 24060652.

GCF of Denominators means GCF of 309,173,190 as per the given fractions.

GCF of 309,173,190 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,382,409

LCM of Fractions 308/309,382/173,409/190 is 24060652

2 308, 382, 409
154, 191, 409

∴ So the LCM of the given numbers is 2 x 154 x 191 x 409 = 24060652

Least Common Multiple of 308,382,409 with GCF Formula

Least Common Multiple of 308,382,409 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 308,382,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,382,409) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(308,382,409) x common factors =1 x 2 = 2

LCM(308,382,409) = ( 308 × 382 × 409 ) / 2

LCM(308,382,409) = 48121304 / 2

LCM(308,382,409) = 24060652


Lets's calculate GCF of 309,173,190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24060652/1

Therefore the LCM of Fractions 308/309,382/173,409/190 is 24060652

Greatest Common Factor of 309,173,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,173,190 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 309,173,190 . The biggest common factor number is the GCF number.
So the greatest common factor 309,173,190 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 308/309, 382/173, 409/190

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 308/309, 382/173, 409/190?

Answer: LCM of Numerators as per given numbers 308/309, 382/173, 409/190 is

LCM of Numerators i.e. for 308,382,409 is 24060652

GCF of denominators i.e. for 309,173,190 is 1.

Thus, LCM of Fractions is 24060652.Finally, LCM of Fractions for 308/309, 382/173, 409/190 is 24060652.