Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 863/94, 324/4139 quickly i.e. 279612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 863/94, 324/4139 is 279612.
LCM(863/94, 324/4139) = 279612
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 863/94,324/4139
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 863,324
Least Common Multiple of Numerators i.e. LCM of 863,324 is 279612.
GCF of Denominators means GCF of 94,4139 as per the given fractions.
GCF of 94,4139 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 863,324
Given numbers has no common factors except 1. So, there LCM is their product i.e 279612
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 863,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,324) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,324) x common factors =1 x 1 = 1
LCM(863,324) = ( 863 × 324 ) / 1
LCM(863,324) = 279612 / 1
LCM(863,324) = 279612
Lets's calculate GCF of 94,4139
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279612/1
Therefore the LCM of Fractions 863/94,324/4139 is 279612
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 4139
List of positive integer factors of 4139 that divides 4139 without a remainder.
1,4139
Greatest Common Factor
We found the factors 94,4139 . The biggest common factor number is the GCF number.
So the greatest common factor 94,4139 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 863/94, 324/4139?
Answer: LCM of Numerators as per given numbers 863/94, 324/4139 is
LCM of Numerators i.e. for 863,324 is 279612
GCF of denominators i.e. for 94,4139 is 1.
Thus, LCM of Fractions is 279612.Finally, LCM of Fractions for 863/94, 324/4139 is 279612.