Least Common Multiple of 309/70, 337/7347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/70, 337/7347 quickly i.e. 104133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/70, 337/7347 is 104133.

LCM(309/70, 337/7347) = 104133

LCM of 309/70, 337/7347

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 309/70,337/7347

Given numbers are 309/70,337/7347

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 309,337

Least Common Multiple of Numerators i.e. LCM of 309,337 is 104133.

GCF of Denominators means GCF of 70,7347 as per the given fractions.

GCF of 70,7347 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,337

LCM of Fractions 309/70,337/7347 is 104133

Given numbers has no common factors except 1. So, there LCM is their product i.e 104133

Least Common Multiple of 309,337 with GCF Formula

Least Common Multiple of 309,337 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 309,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,337) = 1

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

GCF(309,337) x common factors =1 x 1 = 1

LCM(309,337) = ( 309 × 337 ) / 1

LCM(309,337) = 104133 / 1

LCM(309,337) = 104133


Lets's calculate GCF of 70,7347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104133/1

Therefore the LCM of Fractions 309/70,337/7347 is 104133

Greatest Common Factor of 70,7347 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,7347 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 7347

List of positive integer factors of 7347 that divides 7347 without a remainder.

1,3,31,79,93,237,2449,7347

Greatest Common Factor

We found the factors 70,7347 . The biggest common factor number is the GCF number.
So the greatest common factor 70,7347 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 309/70, 337/7347

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 309/70, 337/7347?

Answer: LCM of Numerators as per given numbers 309/70, 337/7347 is

LCM of Numerators i.e. for 309,337 is 104133

GCF of denominators i.e. for 70,7347 is 1.

Thus, LCM of Fractions is 104133.Finally, LCM of Fractions for 309/70, 337/7347 is 104133.