Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/199, 662/320, 933/235 quickly i.e. 1235292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/199, 662/320, 933/235 is 1235292.
LCM(12/199, 662/320, 933/235) = 1235292
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/199,662/320,933/235
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 12,662,933
Least Common Multiple of Numerators i.e. LCM of 12,662,933 is 1235292.
GCF of Denominators means GCF of 199,320,235 as per the given fractions.
GCF of 199,320,235 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,662,933
2 | 12, 662, 933 |
3 | 6, 331, 933 |
2, 331, 311 |
∴ So the LCM of the given numbers is 2 x 3 x 2 x 331 x 311 = 1235292
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 12,662,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,662,933) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(12,662,933) x common factors =1 x 6 = 6
LCM(12,662,933) = ( 12 × 662 × 933 ) / 6
LCM(12,662,933) = 7411752 / 6
LCM(12,662,933) = 1235292
Lets's calculate GCF of 199,320,235
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1235292/1
Therefore the LCM of Fractions 12/199,662/320,933/235 is 1235292
Factors of 199
List of positive integer factors of 199 that divides 199 without a remainder.
1,199
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Greatest Common Factor
We found the factors 199,320,235 . The biggest common factor number is the GCF number.
So the greatest common factor 199,320,235 is 1.
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 12/199, 662/320, 933/235?
Answer: LCM of Numerators as per given numbers 12/199, 662/320, 933/235 is
LCM of Numerators i.e. for 12,662,933 is 1235292
GCF of denominators i.e. for 199,320,235 is 1.
Thus, LCM of Fractions is 1235292.Finally, LCM of Fractions for 12/199, 662/320, 933/235 is 1235292.