Least Common Multiple of 335/344, 4172/8196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 335/344, 4172/8196 quickly i.e. 349405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 335/344, 4172/8196 is 349405.

LCM(335/344, 4172/8196) = 349405

LCM of 335/344, 4172/8196

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 335/344,4172/8196

Given numbers are 335/344,4172/8196

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 335,4172

Least Common Multiple of Numerators i.e. LCM of 335,4172 is 1397620.

GCF of Denominators means GCF of 344,8196 as per the given fractions.

GCF of 344,8196 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 335,4172

LCM of Fractions 335/344,4172/8196 is 349405

Given numbers has no common factors except 1. So, there LCM is their product i.e 1397620

Least Common Multiple of 335,4172 with GCF Formula

Least Common Multiple of 335,4172 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 335,4172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,4172) = 1

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

GCF(335,4172) x common factors =1 x 1 = 1

LCM(335,4172) = ( 335 × 4172 ) / 1

LCM(335,4172) = 1397620 / 1

LCM(335,4172) = 1397620


Lets's calculate GCF of 344,8196

2 344, 8196
2 172, 4098
86, 2049

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1397620/4

Therefore the LCM of Fractions 335/344,4172/8196 is 349405

Greatest Common Factor of 344,8196 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,8196 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 8196

List of positive integer factors of 8196 that divides 8196 without a remainder.

1,2,3,4,6,12,683,1366,2049,2732,4098,8196

Greatest Common Factor

We found the factors 344,8196 . The biggest common factor number is the GCF number.
So the greatest common factor 344,8196 is 4.


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 335/344, 4172/8196

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 335/344, 4172/8196?

Answer: LCM of Numerators as per given numbers 335/344, 4172/8196 is

LCM of Numerators i.e. for 335,4172 is 1397620

GCF of denominators i.e. for 344,8196 is 4.

Thus, LCM of Fractions is 349405.Finally, LCM of Fractions for 335/344, 4172/8196 is 349405.