Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 330/50, 715/15, 669/285 quickly i.e. 191334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 330/50, 715/15, 669/285 is 191334.
LCM(330/50, 715/15, 669/285) = 191334
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 330/50,715/15,669/285
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 330,715,669
Least Common Multiple of Numerators i.e. LCM of 330,715,669 is 956670.
GCF of Denominators means GCF of 50,15,285 as per the given fractions.
GCF of 50,15,285 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 330,715,669
3 | 330, 715, 669 |
5 | 110, 715, 223 |
11 | 22, 143, 223 |
2, 13, 223 |
∴ So the LCM of the given numbers is 3 x 5 x 11 x 2 x 13 x 223 = 956670
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 330,715,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,715,669) = 1
common factors(in case of two or more numbers have common factors) = 165
GCF(330,715,669) x common factors =1 x 165 = 165
LCM(330,715,669) = ( 330 × 715 × 669 ) / 165
LCM(330,715,669) = 157850550 / 165
LCM(330,715,669) = 956670
Lets's calculate GCF of 50,15,285
5 | 50, 15, 285 |
10, 3, 57 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 956670/5
Therefore the LCM of Fractions 330/50,715/15,669/285 is 191334
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Greatest Common Factor
We found the factors 50,15,285 . The biggest common factor number is the GCF number.
So the greatest common factor 50,15,285 is 5.
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 330/50, 715/15, 669/285?
Answer: LCM of Numerators as per given numbers 330/50, 715/15, 669/285 is
LCM of Numerators i.e. for 330,715,669 is 956670
GCF of denominators i.e. for 50,15,285 is 5.
Thus, LCM of Fractions is 191334.Finally, LCM of Fractions for 330/50, 715/15, 669/285 is 191334.