Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/615, 84/389, 541/135 quickly i.e. 1863204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/615, 84/389, 541/135 is 1863204.
LCM(82/615, 84/389, 541/135) = 1863204
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/615,84/389,541/135
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 82,84,541
Least Common Multiple of Numerators i.e. LCM of 82,84,541 is 1863204.
GCF of Denominators means GCF of 615,389,135 as per the given fractions.
GCF of 615,389,135 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,84,541
2 | 82, 84, 541 |
41, 42, 541 |
∴ So the LCM of the given numbers is 2 x 41 x 42 x 541 = 1863204
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 82,84,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,84,541) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(82,84,541) x common factors =1 x 2 = 2
LCM(82,84,541) = ( 82 × 84 × 541 ) / 2
LCM(82,84,541) = 3726408 / 2
LCM(82,84,541) = 1863204
Lets's calculate GCF of 615,389,135
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1863204/1
Therefore the LCM of Fractions 82/615,84/389,541/135 is 1863204
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Greatest Common Factor
We found the factors 615,389,135 . The biggest common factor number is the GCF number.
So the greatest common factor 615,389,135 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 82/615, 84/389, 541/135?
Answer: LCM of Numerators as per given numbers 82/615, 84/389, 541/135 is
LCM of Numerators i.e. for 82,84,541 is 1863204
GCF of denominators i.e. for 615,389,135 is 1.
Thus, LCM of Fractions is 1863204.Finally, LCM of Fractions for 82/615, 84/389, 541/135 is 1863204.