Least Common Multiple of 37/414, 3296/4393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/414, 3296/4393 quickly i.e. 121952/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/414, 3296/4393 is 121952/23.

LCM(37/414, 3296/4393) = 121952/23

LCM of 37/414, 3296/4393

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 37/414,3296/4393

Given numbers are 37/414,3296/4393

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 37,3296

Least Common Multiple of Numerators i.e. LCM of 37,3296 is 121952.

GCF of Denominators means GCF of 414,4393 as per the given fractions.

GCF of 414,4393 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,3296

LCM of Fractions 37/414,3296/4393 is 121952/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 121952

Least Common Multiple of 37,3296 with GCF Formula

Least Common Multiple of 37,3296 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 37,3296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,3296) = 1

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

GCF(37,3296) x common factors =1 x 1 = 1

LCM(37,3296) = ( 37 × 3296 ) / 1

LCM(37,3296) = 121952 / 1

LCM(37,3296) = 121952


Lets's calculate GCF of 414,4393

23 414, 4393
18, 191

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121952/23

Therefore the LCM of Fractions 37/414,3296/4393 is 121952/23

Greatest Common Factor of 414,4393 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,4393 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 4393

List of positive integer factors of 4393 that divides 4393 without a remainder.

1,23,191,4393

Greatest Common Factor

We found the factors 414,4393 . The biggest common factor number is the GCF number.
So the greatest common factor 414,4393 is 23.


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 37/414, 3296/4393

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 37/414, 3296/4393?

Answer: LCM of Numerators as per given numbers 37/414, 3296/4393 is

LCM of Numerators i.e. for 37,3296 is 121952

GCF of denominators i.e. for 414,4393 is 23.

Thus, LCM of Fractions is 121952/23.Finally, LCM of Fractions for 37/414, 3296/4393 is 121952/23.