Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/37, 570/19, 399/378 quickly i.e. 11970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/37, 570/19, 399/378 is 11970.
LCM(90/37, 570/19, 399/378) = 11970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/37,570/19,399/378
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 90,570,399
Least Common Multiple of Numerators i.e. LCM of 90,570,399 is 11970.
GCF of Denominators means GCF of 37,19,378 as per the given fractions.
GCF of 37,19,378 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,570,399
2 | 90, 570, 399 |
3 | 45, 285, 399 |
5 | 15, 95, 133 |
19 | 3, 19, 133 |
3, 1, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 19 x 3 x 1 x 7 = 11970
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 90,570,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,570,399) = 3
common factors(in case of two or more numbers have common factors) = 570
GCF(90,570,399) x common factors =3 x 570 = 1710
LCM(90,570,399) = ( 90 × 570 × 399 ) / 1710
LCM(90,570,399) = 20468700 / 1710
LCM(90,570,399) = 11970
Lets's calculate GCF of 37,19,378
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11970/1
Therefore the LCM of Fractions 90/37,570/19,399/378 is 11970
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 37,19,378 . The biggest common factor number is the GCF number.
So the greatest common factor 37,19,378 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 90/37, 570/19, 399/378?
Answer: LCM of Numerators as per given numbers 90/37, 570/19, 399/378 is
LCM of Numerators i.e. for 90,570,399 is 11970
GCF of denominators i.e. for 37,19,378 is 1.
Thus, LCM of Fractions is 11970.Finally, LCM of Fractions for 90/37, 570/19, 399/378 is 11970.