Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/439, 7386/9727 quickly i.e. 317598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/439, 7386/9727 is 317598.
LCM(86/439, 7386/9727) = 317598
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/439,7386/9727
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 86,7386
Least Common Multiple of Numerators i.e. LCM of 86,7386 is 317598.
GCF of Denominators means GCF of 439,9727 as per the given fractions.
GCF of 439,9727 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,7386
2 | 86, 7386 |
43, 3693 |
∴ So the LCM of the given numbers is 2 x 43 x 3693 = 317598
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 86,7386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,7386) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(86,7386) x common factors =2 x 1 = 2
LCM(86,7386) = ( 86 × 7386 ) / 2
LCM(86,7386) = 635196 / 2
LCM(86,7386) = 317598
Lets's calculate GCF of 439,9727
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 317598/1
Therefore the LCM of Fractions 86/439,7386/9727 is 317598
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Factors of 9727
List of positive integer factors of 9727 that divides 9727 without a remainder.
1,71,137,9727
Greatest Common Factor
We found the factors 439,9727 . The biggest common factor number is the GCF number.
So the greatest common factor 439,9727 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 86/439, 7386/9727?
Answer: LCM of Numerators as per given numbers 86/439, 7386/9727 is
LCM of Numerators i.e. for 86,7386 is 317598
GCF of denominators i.e. for 439,9727 is 1.
Thus, LCM of Fractions is 317598.Finally, LCM of Fractions for 86/439, 7386/9727 is 317598.