Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 933/160, 419/912 quickly i.e. 390927/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 933/160, 419/912 is 390927/16.
LCM(933/160, 419/912) = 390927/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 933/160,419/912
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 933,419
Least Common Multiple of Numerators i.e. LCM of 933,419 is 390927.
GCF of Denominators means GCF of 160,912 as per the given fractions.
GCF of 160,912 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 933,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 390927
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 933,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,419) x common factors =1 x 1 = 1
LCM(933,419) = ( 933 × 419 ) / 1
LCM(933,419) = 390927 / 1
LCM(933,419) = 390927
Lets's calculate GCF of 160,912
2 | 160, 912 |
2 | 80, 456 |
2 | 40, 228 |
2 | 20, 114 |
10, 57 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 390927/16
Therefore the LCM of Fractions 933/160,419/912 is 390927/16
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 160,912 . The biggest common factor number is the GCF number.
So the greatest common factor 160,912 is 16.
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 933/160, 419/912?
Answer: LCM of Numerators as per given numbers 933/160, 419/912 is
LCM of Numerators i.e. for 933,419 is 390927
GCF of denominators i.e. for 160,912 is 16.
Thus, LCM of Fractions is 390927/16.Finally, LCM of Fractions for 933/160, 419/912 is 390927/16.