Least Common Multiple of 309/169, 5909/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/169, 5909/377 quickly i.e. 1825881/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/169, 5909/377 is 1825881/13.

LCM(309/169, 5909/377) = 1825881/13

LCM of 309/169, 5909/377

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 309/169,5909/377

Given numbers are 309/169,5909/377

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 309,5909

Least Common Multiple of Numerators i.e. LCM of 309,5909 is 1825881.

GCF of Denominators means GCF of 169,377 as per the given fractions.

GCF of 169,377 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,5909

LCM of Fractions 309/169,5909/377 is 1825881/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 1825881

Least Common Multiple of 309,5909 with GCF Formula

Least Common Multiple of 309,5909 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 309,5909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,5909) = 1

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

GCF(309,5909) x common factors =1 x 1 = 1

LCM(309,5909) = ( 309 × 5909 ) / 1

LCM(309,5909) = 1825881 / 1

LCM(309,5909) = 1825881


Lets's calculate GCF of 169,377

13 169, 377
13, 29

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1825881/13

Therefore the LCM of Fractions 309/169,5909/377 is 1825881/13

Greatest Common Factor of 169,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,377 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors 169,377 . The biggest common factor number is the GCF number.
So the greatest common factor 169,377 is 13.


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 309/169, 5909/377

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 309/169, 5909/377?

Answer: LCM of Numerators as per given numbers 309/169, 5909/377 is

LCM of Numerators i.e. for 309,5909 is 1825881

GCF of denominators i.e. for 169,377 is 13.

Thus, LCM of Fractions is 1825881/13.Finally, LCM of Fractions for 309/169, 5909/377 is 1825881/13.