Least Common Multiple of 9984/322, 5601/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9984/322, 5601/194 quickly i.e. 9320064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9984/322, 5601/194 is 9320064.

LCM(9984/322, 5601/194) = 9320064

LCM of 9984/322, 5601/194

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 9984/322,5601/194

Given numbers are 9984/322,5601/194

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 9984,5601

Least Common Multiple of Numerators i.e. LCM of 9984,5601 is 18640128.

GCF of Denominators means GCF of 322,194 as per the given fractions.

GCF of 322,194 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9984,5601

LCM of Fractions 9984/322,5601/194 is 9320064

3 9984, 5601
3328, 1867

∴ So the LCM of the given numbers is 3 x 3328 x 1867 = 18640128

Least Common Multiple of 9984,5601 with GCF Formula

Least Common Multiple of 9984,5601 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 9984,5601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9984,5601) = 3

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

GCF(9984,5601) x common factors =3 x 1 = 3

LCM(9984,5601) = ( 9984 × 5601 ) / 3

LCM(9984,5601) = 55920384 / 3

LCM(9984,5601) = 18640128


Lets's calculate GCF of 322,194

2 322, 194
161, 97

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18640128/2

Therefore the LCM of Fractions 9984/322,5601/194 is 9320064

Greatest Common Factor of 322,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,194 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 322,194 . The biggest common factor number is the GCF number.
So the greatest common factor 322,194 is 2.


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Frequently Asked Questions on Fractional LCM of 9984/322, 5601/194

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 9984/322, 5601/194?

Answer: LCM of Numerators as per given numbers 9984/322, 5601/194 is

LCM of Numerators i.e. for 9984,5601 is 18640128

GCF of denominators i.e. for 322,194 is 2.

Thus, LCM of Fractions is 9320064.Finally, LCM of Fractions for 9984/322, 5601/194 is 9320064.