Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/814, 3292/9437 quickly i.e. 26336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/814, 3292/9437 is 26336.
LCM(32/814, 3292/9437) = 26336
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/814,3292/9437
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 32,3292
Least Common Multiple of Numerators i.e. LCM of 32,3292 is 26336.
GCF of Denominators means GCF of 814,9437 as per the given fractions.
GCF of 814,9437 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,3292
2 | 32, 3292 |
2 | 16, 1646 |
8, 823 |
∴ So the LCM of the given numbers is 2 x 2 x 8 x 823 = 26336
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 32,3292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,3292) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(32,3292) x common factors =4 x 1 = 4
LCM(32,3292) = ( 32 × 3292 ) / 4
LCM(32,3292) = 105344 / 4
LCM(32,3292) = 26336
Lets's calculate GCF of 814,9437
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26336/1
Therefore the LCM of Fractions 32/814,3292/9437 is 26336
Factors of 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Factors of 9437
List of positive integer factors of 9437 that divides 9437 without a remainder.
1,9437
Greatest Common Factor
We found the factors 814,9437 . The biggest common factor number is the GCF number.
So the greatest common factor 814,9437 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 32/814, 3292/9437?
Answer: LCM of Numerators as per given numbers 32/814, 3292/9437 is
LCM of Numerators i.e. for 32,3292 is 26336
GCF of denominators i.e. for 814,9437 is 1.
Thus, LCM of Fractions is 26336.Finally, LCM of Fractions for 32/814, 3292/9437 is 26336.