Least Common Multiple of 204/14, 878/74, 189/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 204/14, 878/74, 189/994 quickly i.e. 2821014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 204/14, 878/74, 189/994 is 2821014.

LCM(204/14, 878/74, 189/994) = 2821014

LCM of 204/14, 878/74, 189/994

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 204/14,878/74,189/994

Given numbers are 204/14,878/74,189/994

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 204,878,189

Least Common Multiple of Numerators i.e. LCM of 204,878,189 is 5642028.

GCF of Denominators means GCF of 14,74,994 as per the given fractions.

GCF of 14,74,994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 204,878,189

LCM of Fractions 204/14,878/74,189/994 is 2821014

2 204, 878, 189
3 102, 439, 189
34, 439, 63

∴ So the LCM of the given numbers is 2 x 3 x 34 x 439 x 63 = 5642028

Least Common Multiple of 204,878,189 with GCF Formula

Least Common Multiple of 204,878,189 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 204,878,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,878,189) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(204,878,189) x common factors =1 x 6 = 6

LCM(204,878,189) = ( 204 × 878 × 189 ) / 6

LCM(204,878,189) = 33852168 / 6

LCM(204,878,189) = 5642028


Lets's calculate GCF of 14,74,994

2 14, 74, 994
7, 37, 497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5642028/2

Therefore the LCM of Fractions 204/14,878/74,189/994 is 2821014

Greatest Common Factor of 14,74,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,74,994 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 994

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

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

Greatest Common Factor

We found the factors 14,74,994 . The biggest common factor number is the GCF number.
So the greatest common factor 14,74,994 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 204/14, 878/74, 189/994

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 204/14, 878/74, 189/994?

Answer: LCM of Numerators as per given numbers 204/14, 878/74, 189/994 is

LCM of Numerators i.e. for 204,878,189 is 5642028

GCF of denominators i.e. for 14,74,994 is 2.

Thus, LCM of Fractions is 2821014.Finally, LCM of Fractions for 204/14, 878/74, 189/994 is 2821014.