Least Common Multiple of 402/206, 2223/9996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 402/206, 2223/9996 quickly i.e. 148941 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/206, 2223/9996 is 148941.

LCM(402/206, 2223/9996) = 148941

LCM of 402/206, 2223/9996

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 402/206,2223/9996

Given numbers are 402/206,2223/9996

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 402,2223

Least Common Multiple of Numerators i.e. LCM of 402,2223 is 297882.

GCF of Denominators means GCF of 206,9996 as per the given fractions.

GCF of 206,9996 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,2223

LCM of Fractions 402/206,2223/9996 is 148941

3 402, 2223
134, 741

∴ So the LCM of the given numbers is 3 x 134 x 741 = 297882

Least Common Multiple of 402,2223 with GCF Formula

Least Common Multiple of 402,2223 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 402,2223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,2223) = 3

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

GCF(402,2223) x common factors =3 x 1 = 3

LCM(402,2223) = ( 402 × 2223 ) / 3

LCM(402,2223) = 893646 / 3

LCM(402,2223) = 297882


Lets's calculate GCF of 206,9996

2 206, 9996
103, 4998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297882/2

Therefore the LCM of Fractions 402/206,2223/9996 is 148941

Greatest Common Factor of 206,9996 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,9996 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 9996

List of positive integer factors of 9996 that divides 9996 without a remainder.

1,2,3,4,6,7,12,14,17,21,28,34,42,49,51,68,84,98,102,119,147,196,204,238,294,357,476,588,714,833,1428,1666,2499,3332,4998,9996

Greatest Common Factor

We found the factors 206,9996 . The biggest common factor number is the GCF number.
So the greatest common factor 206,9996 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 402/206, 2223/9996

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 402/206, 2223/9996?

Answer: LCM of Numerators as per given numbers 402/206, 2223/9996 is

LCM of Numerators i.e. for 402,2223 is 297882

GCF of denominators i.e. for 206,9996 is 2.

Thus, LCM of Fractions is 148941.Finally, LCM of Fractions for 402/206, 2223/9996 is 148941.