Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/12, 42/37, 833/393 quickly i.e. 79968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/12, 42/37, 833/393 is 79968.
LCM(32/12, 42/37, 833/393) = 79968
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/12,42/37,833/393
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 32,42,833
Least Common Multiple of Numerators i.e. LCM of 32,42,833 is 79968.
GCF of Denominators means GCF of 12,37,393 as per the given fractions.
GCF of 12,37,393 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,42,833
2 | 32, 42, 833 |
7 | 16, 21, 833 |
16, 3, 119 |
∴ So the LCM of the given numbers is 2 x 7 x 16 x 3 x 119 = 79968
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 32,42,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,42,833) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(32,42,833) x common factors =1 x 14 = 14
LCM(32,42,833) = ( 32 × 42 × 833 ) / 14
LCM(32,42,833) = 1119552 / 14
LCM(32,42,833) = 79968
Lets's calculate GCF of 12,37,393
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79968/1
Therefore the LCM of Fractions 32/12,42/37,833/393 is 79968
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Greatest Common Factor
We found the factors 12,37,393 . The biggest common factor number is the GCF number.
So the greatest common factor 12,37,393 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 32/12, 42/37, 833/393?
Answer: LCM of Numerators as per given numbers 32/12, 42/37, 833/393 is
LCM of Numerators i.e. for 32,42,833 is 79968
GCF of denominators i.e. for 12,37,393 is 1.
Thus, LCM of Fractions is 79968.Finally, LCM of Fractions for 32/12, 42/37, 833/393 is 79968.