Least Common Multiple of 627/46, 663/40, 996/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 627/46, 663/40, 996/196 quickly i.e. 23002122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 627/46, 663/40, 996/196 is 23002122.

LCM(627/46, 663/40, 996/196) = 23002122

LCM of 627/46, 663/40, 996/196

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 627/46,663/40,996/196

Given numbers are 627/46,663/40,996/196

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 627,663,996

Least Common Multiple of Numerators i.e. LCM of 627,663,996 is 46004244.

GCF of Denominators means GCF of 46,40,196 as per the given fractions.

GCF of 46,40,196 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 627,663,996

LCM of Fractions 627/46,663/40,996/196 is 23002122

3 627, 663, 996
209, 221, 332

∴ So the LCM of the given numbers is 3 x 209 x 221 x 332 = 46004244

Least Common Multiple of 627,663,996 with GCF Formula

Least Common Multiple of 627,663,996 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 627,663,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,663,996) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(627,663,996) x common factors =3 x 3 = 9

LCM(627,663,996) = ( 627 × 663 × 996 ) / 9

LCM(627,663,996) = 414038196 / 9

LCM(627,663,996) = 46004244


Lets's calculate GCF of 46,40,196

2 46, 40, 196
23, 20, 98

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46004244/2

Therefore the LCM of Fractions 627/46,663/40,996/196 is 23002122

Greatest Common Factor of 46,40,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,40,196 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 46,40,196 . The biggest common factor number is the GCF number.
So the greatest common factor 46,40,196 is 2.


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 627/46, 663/40, 996/196

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 627/46, 663/40, 996/196?

Answer: LCM of Numerators as per given numbers 627/46, 663/40, 996/196 is

LCM of Numerators i.e. for 627,663,996 is 46004244

GCF of denominators i.e. for 46,40,196 is 2.

Thus, LCM of Fractions is 23002122.Finally, LCM of Fractions for 627/46, 663/40, 996/196 is 23002122.