Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/21, 615/10, 285/437 quickly i.e. 11685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/21, 615/10, 285/437 is 11685.
LCM(19/21, 615/10, 285/437) = 11685
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/21,615/10,285/437
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 19,615,285
Least Common Multiple of Numerators i.e. LCM of 19,615,285 is 11685.
GCF of Denominators means GCF of 21,10,437 as per the given fractions.
GCF of 21,10,437 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,615,285
3 | 19, 615, 285 |
5 | 19, 205, 95 |
19 | 19, 41, 19 |
1, 41, 1 |
∴ So the LCM of the given numbers is 3 x 5 x 19 x 1 x 41 x 1 = 11685
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 19,615,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,615,285) = 1
common factors(in case of two or more numbers have common factors) = 285
GCF(19,615,285) x common factors =1 x 285 = 285
LCM(19,615,285) = ( 19 × 615 × 285 ) / 285
LCM(19,615,285) = 3330225 / 285
LCM(19,615,285) = 11685
Lets's calculate GCF of 21,10,437
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11685/1
Therefore the LCM of Fractions 19/21,615/10,285/437 is 11685
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Greatest Common Factor
We found the factors 21,10,437 . The biggest common factor number is the GCF number.
So the greatest common factor 21,10,437 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 19/21, 615/10, 285/437?
Answer: LCM of Numerators as per given numbers 19/21, 615/10, 285/437 is
LCM of Numerators i.e. for 19,615,285 is 11685
GCF of denominators i.e. for 21,10,437 is 1.
Thus, LCM of Fractions is 11685.Finally, LCM of Fractions for 19/21, 615/10, 285/437 is 11685.