Least Common Multiple of 97/214, 4044/3638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/214, 4044/3638 quickly i.e. 392268/214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/214, 4044/3638 is 392268/214.

LCM(97/214, 4044/3638) = 392268/214

LCM of 97/214, 4044/3638

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 97/214,4044/3638

Given numbers are 97/214,4044/3638

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 97,4044

Least Common Multiple of Numerators i.e. LCM of 97,4044 is 392268.

GCF of Denominators means GCF of 214,3638 as per the given fractions.

GCF of 214,3638 is 214 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,4044

LCM of Fractions 97/214,4044/3638 is 392268/214

Given numbers has no common factors except 1. So, there LCM is their product i.e 392268

Least Common Multiple of 97,4044 with GCF Formula

Least Common Multiple of 97,4044 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 97,4044 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,4044) = 1

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

GCF(97,4044) x common factors =1 x 1 = 1

LCM(97,4044) = ( 97 × 4044 ) / 1

LCM(97,4044) = 392268 / 1

LCM(97,4044) = 392268


Lets's calculate GCF of 214,3638

2 214, 3638
107 107, 1819
1, 17

∴ So the GCF of the given numbers is 2 x 107 = 214

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 392268/214

Therefore the LCM of Fractions 97/214,4044/3638 is 392268/214

Greatest Common Factor of 214,3638 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,3638 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 3638

List of positive integer factors of 3638 that divides 3638 without a remainder.

1,2,17,34,107,214,1819,3638

Greatest Common Factor

We found the factors 214,3638 . The biggest common factor number is the GCF number.
So the greatest common factor 214,3638 is 214.


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 97/214, 4044/3638

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 97/214, 4044/3638?

Answer: LCM of Numerators as per given numbers 97/214, 4044/3638 is

LCM of Numerators i.e. for 97,4044 is 392268

GCF of denominators i.e. for 214,3638 is 214.

Thus, LCM of Fractions is 392268/214.Finally, LCM of Fractions for 97/214, 4044/3638 is 392268/214.