Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 319/88, 986/4311 quickly i.e. 10846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 319/88, 986/4311 is 10846.
LCM(319/88, 986/4311) = 10846
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 319/88,986/4311
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 319,986
Least Common Multiple of Numerators i.e. LCM of 319,986 is 10846.
GCF of Denominators means GCF of 88,4311 as per the given fractions.
GCF of 88,4311 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 319,986
29 | 319, 986 |
11, 34 |
∴ So the LCM of the given numbers is 29 x 11 x 34 = 10846
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 319,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,986) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(319,986) x common factors =29 x 1 = 29
LCM(319,986) = ( 319 × 986 ) / 29
LCM(319,986) = 314534 / 29
LCM(319,986) = 10846
Lets's calculate GCF of 88,4311
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10846/1
Therefore the LCM of Fractions 319/88,986/4311 is 10846
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 4311
List of positive integer factors of 4311 that divides 4311 without a remainder.
1,3,9,479,1437,4311
Greatest Common Factor
We found the factors 88,4311 . The biggest common factor number is the GCF number.
So the greatest common factor 88,4311 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 319/88, 986/4311?
Answer: LCM of Numerators as per given numbers 319/88, 986/4311 is
LCM of Numerators i.e. for 319,986 is 10846
GCF of denominators i.e. for 88,4311 is 1.
Thus, LCM of Fractions is 10846.Finally, LCM of Fractions for 319/88, 986/4311 is 10846.