Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/384, 21/130, 504/916 quickly i.e. 6300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/384, 21/130, 504/916 is 6300.
LCM(50/384, 21/130, 504/916) = 6300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/384,21/130,504/916
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 50,21,504
Least Common Multiple of Numerators i.e. LCM of 50,21,504 is 12600.
GCF of Denominators means GCF of 384,130,916 as per the given fractions.
GCF of 384,130,916 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,21,504
2 | 50, 21, 504 |
3 | 25, 21, 252 |
7 | 25, 7, 84 |
25, 1, 12 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 25 x 1 x 12 = 12600
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 50,21,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,21,504) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(50,21,504) x common factors =1 x 42 = 42
LCM(50,21,504) = ( 50 × 21 × 504 ) / 42
LCM(50,21,504) = 529200 / 42
LCM(50,21,504) = 12600
Lets's calculate GCF of 384,130,916
2 | 384, 130, 916 |
192, 65, 458 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12600/2
Therefore the LCM of Fractions 50/384,21/130,504/916 is 6300
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Greatest Common Factor
We found the factors 384,130,916 . The biggest common factor number is the GCF number.
So the greatest common factor 384,130,916 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 50/384, 21/130, 504/916?
Answer: LCM of Numerators as per given numbers 50/384, 21/130, 504/916 is
LCM of Numerators i.e. for 50,21,504 is 12600
GCF of denominators i.e. for 384,130,916 is 2.
Thus, LCM of Fractions is 6300.Finally, LCM of Fractions for 50/384, 21/130, 504/916 is 6300.