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
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
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
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
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
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.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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.