Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3238/32, 9187/834 quickly i.e. 14873753 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3238/32, 9187/834 is 14873753.
LCM(3238/32, 9187/834) = 14873753
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3238/32,9187/834
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 3238,9187
Least Common Multiple of Numerators i.e. LCM of 3238,9187 is 29747506.
GCF of Denominators means GCF of 32,834 as per the given fractions.
GCF of 32,834 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3238,9187
Given numbers has no common factors except 1. So, there LCM is their product i.e 29747506
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 3238,9187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3238,9187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3238,9187) x common factors =1 x 1 = 1
LCM(3238,9187) = ( 3238 × 9187 ) / 1
LCM(3238,9187) = 29747506 / 1
LCM(3238,9187) = 29747506
Lets's calculate GCF of 32,834
2 | 32, 834 |
16, 417 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29747506/2
Therefore the LCM of Fractions 3238/32,9187/834 is 14873753
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Greatest Common Factor
We found the factors 32,834 . The biggest common factor number is the GCF number.
So the greatest common factor 32,834 is 2.
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 3238/32, 9187/834?
Answer: LCM of Numerators as per given numbers 3238/32, 9187/834 is
LCM of Numerators i.e. for 3238,9187 is 29747506
GCF of denominators i.e. for 32,834 is 2.
Thus, LCM of Fractions is 14873753.Finally, LCM of Fractions for 3238/32, 9187/834 is 14873753.