Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1647/831, 6052/9084 quickly i.e. 3322548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1647/831, 6052/9084 is 3322548.
LCM(1647/831, 6052/9084) = 3322548
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1647/831,6052/9084
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 1647,6052
Least Common Multiple of Numerators i.e. LCM of 1647,6052 is 9967644.
GCF of Denominators means GCF of 831,9084 as per the given fractions.
GCF of 831,9084 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1647,6052
Given numbers has no common factors except 1. So, there LCM is their product i.e 9967644
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 1647,6052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1647,6052) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1647,6052) x common factors =1 x 1 = 1
LCM(1647,6052) = ( 1647 × 6052 ) / 1
LCM(1647,6052) = 9967644 / 1
LCM(1647,6052) = 9967644
Lets's calculate GCF of 831,9084
3 | 831, 9084 |
277, 3028 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9967644/3
Therefore the LCM of Fractions 1647/831,6052/9084 is 3322548
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 9084
List of positive integer factors of 9084 that divides 9084 without a remainder.
1,2,3,4,6,12,757,1514,2271,3028,4542,9084
Greatest Common Factor
We found the factors 831,9084 . The biggest common factor number is the GCF number.
So the greatest common factor 831,9084 is 3.
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 1647/831, 6052/9084?
Answer: LCM of Numerators as per given numbers 1647/831, 6052/9084 is
LCM of Numerators i.e. for 1647,6052 is 9967644
GCF of denominators i.e. for 831,9084 is 3.
Thus, LCM of Fractions is 3322548.Finally, LCM of Fractions for 1647/831, 6052/9084 is 3322548.