Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 819/50, 171/39, 100/15 quickly i.e. 1556100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 819/50, 171/39, 100/15 is 1556100.
LCM(819/50, 171/39, 100/15) = 1556100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 819/50,171/39,100/15
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 819,171,100
Least Common Multiple of Numerators i.e. LCM of 819,171,100 is 1556100.
GCF of Denominators means GCF of 50,39,15 as per the given fractions.
GCF of 50,39,15 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 819,171,100
3 | 819, 171, 100 |
3 | 273, 57, 100 |
91, 19, 100 |
∴ So the LCM of the given numbers is 3 x 3 x 91 x 19 x 100 = 1556100
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 819,171,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,171,100) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(819,171,100) x common factors =1 x 9 = 9
LCM(819,171,100) = ( 819 × 171 × 100 ) / 9
LCM(819,171,100) = 14004900 / 9
LCM(819,171,100) = 1556100
Lets's calculate GCF of 50,39,15
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1556100/1
Therefore the LCM of Fractions 819/50,171/39,100/15 is 1556100
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Greatest Common Factor
We found the factors 50,39,15 . The biggest common factor number is the GCF number.
So the greatest common factor 50,39,15 is 1.
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 819/50, 171/39, 100/15?
Answer: LCM of Numerators as per given numbers 819/50, 171/39, 100/15 is
LCM of Numerators i.e. for 819,171,100 is 1556100
GCF of denominators i.e. for 50,39,15 is 1.
Thus, LCM of Fractions is 1556100.Finally, LCM of Fractions for 819/50, 171/39, 100/15 is 1556100.