Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/50, 412/96, 932/316 quickly i.e. 4559810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/50, 412/96, 932/316 is 4559810.
LCM(95/50, 412/96, 932/316) = 4559810
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/50,412/96,932/316
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 95,412,932
Least Common Multiple of Numerators i.e. LCM of 95,412,932 is 9119620.
GCF of Denominators means GCF of 50,96,316 as per the given fractions.
GCF of 50,96,316 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,412,932
2 | 95, 412, 932 |
2 | 95, 206, 466 |
95, 103, 233 |
∴ So the LCM of the given numbers is 2 x 2 x 95 x 103 x 233 = 9119620
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 95,412,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,412,932) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(95,412,932) x common factors =1 x 4 = 4
LCM(95,412,932) = ( 95 × 412 × 932 ) / 4
LCM(95,412,932) = 36478480 / 4
LCM(95,412,932) = 9119620
Lets's calculate GCF of 50,96,316
2 | 50, 96, 316 |
25, 48, 158 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9119620/2
Therefore the LCM of Fractions 95/50,412/96,932/316 is 4559810
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Greatest Common Factor
We found the factors 50,96,316 . The biggest common factor number is the GCF number.
So the greatest common factor 50,96,316 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 95/50, 412/96, 932/316?
Answer: LCM of Numerators as per given numbers 95/50, 412/96, 932/316 is
LCM of Numerators i.e. for 95,412,932 is 9119620
GCF of denominators i.e. for 50,96,316 is 2.
Thus, LCM of Fractions is 4559810.Finally, LCM of Fractions for 95/50, 412/96, 932/316 is 4559810.