Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/76, 38/58, 799/12 quickly i.e. 30362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/76, 38/58, 799/12 is 30362.
LCM(68/76, 38/58, 799/12) = 30362
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/76,38/58,799/12
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 68,38,799
Least Common Multiple of Numerators i.e. LCM of 68,38,799 is 60724.
GCF of Denominators means GCF of 76,58,12 as per the given fractions.
GCF of 76,58,12 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,38,799
2 | 68, 38, 799 |
17 | 34, 19, 799 |
2, 19, 47 |
∴ So the LCM of the given numbers is 2 x 17 x 2 x 19 x 47 = 60724
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 68,38,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,38,799) = 1
common factors(in case of two or more numbers have common factors) = 34
GCF(68,38,799) x common factors =1 x 34 = 34
LCM(68,38,799) = ( 68 × 38 × 799 ) / 34
LCM(68,38,799) = 2064616 / 34
LCM(68,38,799) = 60724
Lets's calculate GCF of 76,58,12
2 | 76, 58, 12 |
38, 29, 6 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60724/2
Therefore the LCM of Fractions 68/76,38/58,799/12 is 30362
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Greatest Common Factor
We found the factors 76,58,12 . The biggest common factor number is the GCF number.
So the greatest common factor 76,58,12 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 68/76, 38/58, 799/12?
Answer: LCM of Numerators as per given numbers 68/76, 38/58, 799/12 is
LCM of Numerators i.e. for 68,38,799 is 60724
GCF of denominators i.e. for 76,58,12 is 2.
Thus, LCM of Fractions is 30362.Finally, LCM of Fractions for 68/76, 38/58, 799/12 is 30362.