Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3463/586, 8033/142 quickly i.e. 27818279/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3463/586, 8033/142 is 27818279/2.
LCM(3463/586, 8033/142) = 27818279/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3463/586,8033/142
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 3463,8033
Least Common Multiple of Numerators i.e. LCM of 3463,8033 is 27818279.
GCF of Denominators means GCF of 586,142 as per the given fractions.
GCF of 586,142 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3463,8033
Given numbers has no common factors except 1. So, there LCM is their product i.e 27818279
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 3463,8033 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3463,8033) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3463,8033) x common factors =1 x 1 = 1
LCM(3463,8033) = ( 3463 × 8033 ) / 1
LCM(3463,8033) = 27818279 / 1
LCM(3463,8033) = 27818279
Lets's calculate GCF of 586,142
2 | 586, 142 |
293, 71 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27818279/2
Therefore the LCM of Fractions 3463/586,8033/142 is 27818279/2
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Greatest Common Factor
We found the factors 586,142 . The biggest common factor number is the GCF number.
So the greatest common factor 586,142 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 3463/586, 8033/142?
Answer: LCM of Numerators as per given numbers 3463/586, 8033/142 is
LCM of Numerators i.e. for 3463,8033 is 27818279
GCF of denominators i.e. for 586,142 is 2.
Thus, LCM of Fractions is 27818279/2.Finally, LCM of Fractions for 3463/586, 8033/142 is 27818279/2.