Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/878, 2539/6138 quickly i.e. 38085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/878, 2539/6138 is 38085.
LCM(30/878, 2539/6138) = 38085
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/878,2539/6138
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 30,2539
Least Common Multiple of Numerators i.e. LCM of 30,2539 is 76170.
GCF of Denominators means GCF of 878,6138 as per the given fractions.
GCF of 878,6138 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,2539
Given numbers has no common factors except 1. So, there LCM is their product i.e 76170
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 30,2539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,2539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(30,2539) x common factors =1 x 1 = 1
LCM(30,2539) = ( 30 × 2539 ) / 1
LCM(30,2539) = 76170 / 1
LCM(30,2539) = 76170
Lets's calculate GCF of 878,6138
2 | 878, 6138 |
439, 3069 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76170/2
Therefore the LCM of Fractions 30/878,2539/6138 is 38085
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Factors of 6138
List of positive integer factors of 6138 that divides 6138 without a remainder.
1,2,3,6,9,11,18,22,31,33,62,66,93,99,186,198,279,341,558,682,1023,2046,3069,6138
Greatest Common Factor
We found the factors 878,6138 . The biggest common factor number is the GCF number.
So the greatest common factor 878,6138 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 30/878, 2539/6138?
Answer: LCM of Numerators as per given numbers 30/878, 2539/6138 is
LCM of Numerators i.e. for 30,2539 is 76170
GCF of denominators i.e. for 878,6138 is 2.
Thus, LCM of Fractions is 38085.Finally, LCM of Fractions for 30/878, 2539/6138 is 38085.