Least Common Multiple of 9984/446, 7342/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9984/446, 7342/442 quickly i.e. 18325632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9984/446, 7342/442 is 18325632.

LCM(9984/446, 7342/442) = 18325632

LCM of 9984/446, 7342/442

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 9984/446,7342/442

Given numbers are 9984/446,7342/442

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 9984,7342

Least Common Multiple of Numerators i.e. LCM of 9984,7342 is 36651264.

GCF of Denominators means GCF of 446,442 as per the given fractions.

GCF of 446,442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9984,7342

LCM of Fractions 9984/446,7342/442 is 18325632

2 9984, 7342
4992, 3671

∴ So the LCM of the given numbers is 2 x 4992 x 3671 = 36651264

Least Common Multiple of 9984,7342 with GCF Formula

Least Common Multiple of 9984,7342 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 9984,7342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9984,7342) = 2

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

GCF(9984,7342) x common factors =2 x 1 = 2

LCM(9984,7342) = ( 9984 × 7342 ) / 2

LCM(9984,7342) = 73302528 / 2

LCM(9984,7342) = 36651264


Lets's calculate GCF of 446,442

2 446, 442
223, 221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36651264/2

Therefore the LCM of Fractions 9984/446,7342/442 is 18325632

Greatest Common Factor of 446,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,442 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 446,442 . The biggest common factor number is the GCF number.
So the greatest common factor 446,442 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 9984/446, 7342/442

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 9984/446, 7342/442?

Answer: LCM of Numerators as per given numbers 9984/446, 7342/442 is

LCM of Numerators i.e. for 9984,7342 is 36651264

GCF of denominators i.e. for 446,442 is 2.

Thus, LCM of Fractions is 18325632.Finally, LCM of Fractions for 9984/446, 7342/442 is 18325632.