Least Common Multiple of 214/37, 412/4404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/37, 412/4404 quickly i.e. 44084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/37, 412/4404 is 44084.

LCM(214/37, 412/4404) = 44084

LCM of 214/37, 412/4404

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 214/37,412/4404

Given numbers are 214/37,412/4404

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 214,412

Least Common Multiple of Numerators i.e. LCM of 214,412 is 44084.

GCF of Denominators means GCF of 37,4404 as per the given fractions.

GCF of 37,4404 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,412

LCM of Fractions 214/37,412/4404 is 44084

2 214, 412
107, 206

∴ So the LCM of the given numbers is 2 x 107 x 206 = 44084

Least Common Multiple of 214,412 with GCF Formula

Least Common Multiple of 214,412 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 214,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,412) = 2

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

GCF(214,412) x common factors =2 x 1 = 2

LCM(214,412) = ( 214 × 412 ) / 2

LCM(214,412) = 88168 / 2

LCM(214,412) = 44084


Lets's calculate GCF of 37,4404

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44084/1

Therefore the LCM of Fractions 214/37,412/4404 is 44084

Greatest Common Factor of 37,4404 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,4404 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 4404

List of positive integer factors of 4404 that divides 4404 without a remainder.

1,2,3,4,6,12,367,734,1101,1468,2202,4404

Greatest Common Factor

We found the factors 37,4404 . The biggest common factor number is the GCF number.
So the greatest common factor 37,4404 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 214/37, 412/4404

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 214/37, 412/4404?

Answer: LCM of Numerators as per given numbers 214/37, 412/4404 is

LCM of Numerators i.e. for 214,412 is 44084

GCF of denominators i.e. for 37,4404 is 1.

Thus, LCM of Fractions is 44084.Finally, LCM of Fractions for 214/37, 412/4404 is 44084.