Least Common Multiple of 298/15, 349/39, 309/337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 298/15, 349/39, 309/337 quickly i.e. 32136618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 298/15, 349/39, 309/337 is 32136618.

LCM(298/15, 349/39, 309/337) = 32136618

LCM of 298/15, 349/39, 309/337

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 298/15,349/39,309/337

Given numbers are 298/15,349/39,309/337

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 298,349,309

Least Common Multiple of Numerators i.e. LCM of 298,349,309 is 32136618.

GCF of Denominators means GCF of 15,39,337 as per the given fractions.

GCF of 15,39,337 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 298,349,309

LCM of Fractions 298/15,349/39,309/337 is 32136618

Given numbers has no common factors except 1. So, there LCM is their product i.e 32136618

Least Common Multiple of 298,349,309 with GCF Formula

Least Common Multiple of 298,349,309 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 298,349,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,349,309) = 1

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

GCF(298,349,309) x common factors =1 x 1 = 1

LCM(298,349,309) = ( 298 × 349 × 309 ) / 1

LCM(298,349,309) = 32136618 / 1

LCM(298,349,309) = 32136618


Lets's calculate GCF of 15,39,337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32136618/1

Therefore the LCM of Fractions 298/15,349/39,309/337 is 32136618

Greatest Common Factor of 15,39,337 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,39,337 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Greatest Common Factor

We found the factors 15,39,337 . The biggest common factor number is the GCF number.
So the greatest common factor 15,39,337 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 298/15, 349/39, 309/337

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 298/15, 349/39, 309/337?

Answer: LCM of Numerators as per given numbers 298/15, 349/39, 309/337 is

LCM of Numerators i.e. for 298,349,309 is 32136618

GCF of denominators i.e. for 15,39,337 is 1.

Thus, LCM of Fractions is 32136618.Finally, LCM of Fractions for 298/15, 349/39, 309/337 is 32136618.