Least Common Multiple of 9964/994, 7394/4182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9964/994, 7394/4182 quickly i.e. 18418454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9964/994, 7394/4182 is 18418454.

LCM(9964/994, 7394/4182) = 18418454

LCM of 9964/994, 7394/4182

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 9964/994,7394/4182

Given numbers are 9964/994,7394/4182

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 9964,7394

Least Common Multiple of Numerators i.e. LCM of 9964,7394 is 36836908.

GCF of Denominators means GCF of 994,4182 as per the given fractions.

GCF of 994,4182 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9964,7394

LCM of Fractions 9964/994,7394/4182 is 18418454

2 9964, 7394
4982, 3697

∴ So the LCM of the given numbers is 2 x 4982 x 3697 = 36836908

Least Common Multiple of 9964,7394 with GCF Formula

Least Common Multiple of 9964,7394 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 9964,7394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9964,7394) = 2

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

GCF(9964,7394) x common factors =2 x 1 = 2

LCM(9964,7394) = ( 9964 × 7394 ) / 2

LCM(9964,7394) = 73673816 / 2

LCM(9964,7394) = 36836908


Lets's calculate GCF of 994,4182

2 994, 4182
497, 2091

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36836908/2

Therefore the LCM of Fractions 9964/994,7394/4182 is 18418454

Greatest Common Factor of 994,4182 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,4182 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 4182

List of positive integer factors of 4182 that divides 4182 without a remainder.

1,2,3,6,17,34,41,51,82,102,123,246,697,1394,2091,4182

Greatest Common Factor

We found the factors 994,4182 . The biggest common factor number is the GCF number.
So the greatest common factor 994,4182 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 9964/994, 7394/4182

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 9964/994, 7394/4182?

Answer: LCM of Numerators as per given numbers 9964/994, 7394/4182 is

LCM of Numerators i.e. for 9964,7394 is 36836908

GCF of denominators i.e. for 994,4182 is 2.

Thus, LCM of Fractions is 18418454.Finally, LCM of Fractions for 9964/994, 7394/4182 is 18418454.