Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 999/10, 378/64, 665/210 quickly i.e. 664335 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 999/10, 378/64, 665/210 is 664335.
LCM(999/10, 378/64, 665/210) = 664335
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 999/10,378/64,665/210
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 999,378,665
Least Common Multiple of Numerators i.e. LCM of 999,378,665 is 1328670.
GCF of Denominators means GCF of 10,64,210 as per the given fractions.
GCF of 10,64,210 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 999,378,665
3 | 999, 378, 665 |
3 | 333, 126, 665 |
3 | 111, 42, 665 |
7 | 37, 14, 665 |
37, 2, 95 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 7 x 37 x 2 x 95 = 1328670
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 999,378,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,378,665) = 1
common factors(in case of two or more numbers have common factors) = 189
GCF(999,378,665) x common factors =1 x 189 = 189
LCM(999,378,665) = ( 999 × 378 × 665 ) / 189
LCM(999,378,665) = 251118630 / 189
LCM(999,378,665) = 1328670
Lets's calculate GCF of 10,64,210
2 | 10, 64, 210 |
5, 32, 105 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1328670/2
Therefore the LCM of Fractions 999/10,378/64,665/210 is 664335
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 10,64,210 . The biggest common factor number is the GCF number.
So the greatest common factor 10,64,210 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 999/10, 378/64, 665/210?
Answer: LCM of Numerators as per given numbers 999/10, 378/64, 665/210 is
LCM of Numerators i.e. for 999,378,665 is 1328670
GCF of denominators i.e. for 10,64,210 is 2.
Thus, LCM of Fractions is 664335.Finally, LCM of Fractions for 999/10, 378/64, 665/210 is 664335.