Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/78, 83/30, 12/949 quickly i.e. 18924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/78, 83/30, 12/949 is 18924.
LCM(38/78, 83/30, 12/949) = 18924
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/78,83/30,12/949
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 38,83,12
Least Common Multiple of Numerators i.e. LCM of 38,83,12 is 18924.
GCF of Denominators means GCF of 78,30,949 as per the given fractions.
GCF of 78,30,949 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,83,12
2 | 38, 83, 12 |
19, 83, 6 |
∴ So the LCM of the given numbers is 2 x 19 x 83 x 6 = 18924
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 38,83,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,83,12) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(38,83,12) x common factors =1 x 2 = 2
LCM(38,83,12) = ( 38 × 83 × 12 ) / 2
LCM(38,83,12) = 37848 / 2
LCM(38,83,12) = 18924
Lets's calculate GCF of 78,30,949
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18924/1
Therefore the LCM of Fractions 38/78,83/30,12/949 is 18924
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Greatest Common Factor
We found the factors 78,30,949 . The biggest common factor number is the GCF number.
So the greatest common factor 78,30,949 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 38/78, 83/30, 12/949?
Answer: LCM of Numerators as per given numbers 38/78, 83/30, 12/949 is
LCM of Numerators i.e. for 38,83,12 is 18924
GCF of denominators i.e. for 78,30,949 is 1.
Thus, LCM of Fractions is 18924.Finally, LCM of Fractions for 38/78, 83/30, 12/949 is 18924.