Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/38, 3/68, 29/58, 74/915 quickly i.e. 25752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/38, 3/68, 29/58, 74/915 is 25752.
LCM(8/38, 3/68, 29/58, 74/915) = 25752
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/38,3/68,29/58,74/915
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 8,3,29,74
Least Common Multiple of Numerators i.e. LCM of 8,3,29,74 is 25752.
GCF of Denominators means GCF of 38,68,58,915 as per the given fractions.
GCF of 38,68,58,915 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,3,29,74
2 | 8, 3, 29, 74 |
4, 3, 29, 37 |
∴ So the LCM of the given numbers is 2 x 4 x 3 x 29 x 37 = 25752
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 8,3,29,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,3,29,74) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(8,3,29,74) x common factors =1 x 2 = 2
LCM(8,3,29,74) = ( 8 × 3 × 29 × 74 ) / 2
LCM(8,3,29,74) = 51504 / 2
LCM(8,3,29,74) = 25752
Lets's calculate GCF of 38,68,58,915
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25752/1
Therefore the LCM of Fractions 8/38,3/68,29/58,74/915 is 25752
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 38,68,58,915 . The biggest common factor number is the GCF number.
So the greatest common factor 38,68,58,915 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 8/38, 3/68, 29/58, 74/915?
Answer: LCM of Numerators as per given numbers 8/38, 3/68, 29/58, 74/915 is
LCM of Numerators i.e. for 8,3,29,74 is 25752
GCF of denominators i.e. for 38,68,58,915 is 1.
Thus, LCM of Fractions is 25752.Finally, LCM of Fractions for 8/38, 3/68, 29/58, 74/915 is 25752.