Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 387/94, 986/2325 quickly i.e. 381582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 387/94, 986/2325 is 381582.
LCM(387/94, 986/2325) = 381582
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 387/94,986/2325
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 387,986
Least Common Multiple of Numerators i.e. LCM of 387,986 is 381582.
GCF of Denominators means GCF of 94,2325 as per the given fractions.
GCF of 94,2325 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 387,986
Given numbers has no common factors except 1. So, there LCM is their product i.e 381582
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 387,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(387,986) x common factors =1 x 1 = 1
LCM(387,986) = ( 387 × 986 ) / 1
LCM(387,986) = 381582 / 1
LCM(387,986) = 381582
Lets's calculate GCF of 94,2325
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381582/1
Therefore the LCM of Fractions 387/94,986/2325 is 381582
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 2325
List of positive integer factors of 2325 that divides 2325 without a remainder.
1,3,5,15,25,31,75,93,155,465,775,2325
Greatest Common Factor
We found the factors 94,2325 . The biggest common factor number is the GCF number.
So the greatest common factor 94,2325 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 387/94, 986/2325?
Answer: LCM of Numerators as per given numbers 387/94, 986/2325 is
LCM of Numerators i.e. for 387,986 is 381582
GCF of denominators i.e. for 94,2325 is 1.
Thus, LCM of Fractions is 381582.Finally, LCM of Fractions for 387/94, 986/2325 is 381582.