Least Common Multiple of 399/242, 9963/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 399/242, 9963/990 quickly i.e. 1325079/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 399/242, 9963/990 is 1325079/22.

LCM(399/242, 9963/990) = 1325079/22

LCM of 399/242, 9963/990

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 399/242,9963/990

Given numbers are 399/242,9963/990

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 399,9963

Least Common Multiple of Numerators i.e. LCM of 399,9963 is 1325079.

GCF of Denominators means GCF of 242,990 as per the given fractions.

GCF of 242,990 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 399,9963

LCM of Fractions 399/242,9963/990 is 1325079/22

3 399, 9963
133, 3321

∴ So the LCM of the given numbers is 3 x 133 x 3321 = 1325079

Least Common Multiple of 399,9963 with GCF Formula

Least Common Multiple of 399,9963 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 399,9963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,9963) = 3

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

GCF(399,9963) x common factors =3 x 1 = 3

LCM(399,9963) = ( 399 × 9963 ) / 3

LCM(399,9963) = 3975237 / 3

LCM(399,9963) = 1325079


Lets's calculate GCF of 242,990

2 242, 990
11 121, 495
11, 45

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1325079/22

Therefore the LCM of Fractions 399/242,9963/990 is 1325079/22

Greatest Common Factor of 242,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,990 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 242,990 . The biggest common factor number is the GCF number.
So the greatest common factor 242,990 is 22.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 399/242, 9963/990

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 399/242, 9963/990?

Answer: LCM of Numerators as per given numbers 399/242, 9963/990 is

LCM of Numerators i.e. for 399,9963 is 1325079

GCF of denominators i.e. for 242,990 is 22.

Thus, LCM of Fractions is 1325079/22.Finally, LCM of Fractions for 399/242, 9963/990 is 1325079/22.