Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/78, 73/50, 119/512 quickly i.e. 69496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/78, 73/50, 119/512 is 69496.
LCM(16/78, 73/50, 119/512) = 69496
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/78,73/50,119/512
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 16,73,119
Least Common Multiple of Numerators i.e. LCM of 16,73,119 is 138992.
GCF of Denominators means GCF of 78,50,512 as per the given fractions.
GCF of 78,50,512 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,73,119
Given numbers has no common factors except 1. So, there LCM is their product i.e 138992
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 16,73,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,73,119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,73,119) x common factors =1 x 1 = 1
LCM(16,73,119) = ( 16 × 73 × 119 ) / 1
LCM(16,73,119) = 138992 / 1
LCM(16,73,119) = 138992
Lets's calculate GCF of 78,50,512
2 | 78, 50, 512 |
39, 25, 256 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138992/2
Therefore the LCM of Fractions 16/78,73/50,119/512 is 69496
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 78,50,512 . The biggest common factor number is the GCF number.
So the greatest common factor 78,50,512 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 16/78, 73/50, 119/512?
Answer: LCM of Numerators as per given numbers 16/78, 73/50, 119/512 is
LCM of Numerators i.e. for 16,73,119 is 138992
GCF of denominators i.e. for 78,50,512 is 2.
Thus, LCM of Fractions is 69496.Finally, LCM of Fractions for 16/78, 73/50, 119/512 is 69496.