Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/84, 431/81, 519/151 quickly i.e. 2684268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/84, 431/81, 519/151 is 2684268.
LCM(36/84, 431/81, 519/151) = 2684268
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/84,431/81,519/151
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 36,431,519
Least Common Multiple of Numerators i.e. LCM of 36,431,519 is 2684268.
GCF of Denominators means GCF of 84,81,151 as per the given fractions.
GCF of 84,81,151 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,431,519
3 | 36, 431, 519 |
12, 431, 173 |
∴ So the LCM of the given numbers is 3 x 12 x 431 x 173 = 2684268
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 36,431,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,431,519) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(36,431,519) x common factors =1 x 3 = 3
LCM(36,431,519) = ( 36 × 431 × 519 ) / 3
LCM(36,431,519) = 8052804 / 3
LCM(36,431,519) = 2684268
Lets's calculate GCF of 84,81,151
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2684268/1
Therefore the LCM of Fractions 36/84,431/81,519/151 is 2684268
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Greatest Common Factor
We found the factors 84,81,151 . The biggest common factor number is the GCF number.
So the greatest common factor 84,81,151 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 36/84, 431/81, 519/151?
Answer: LCM of Numerators as per given numbers 36/84, 431/81, 519/151 is
LCM of Numerators i.e. for 36,431,519 is 2684268
GCF of denominators i.e. for 84,81,151 is 1.
Thus, LCM of Fractions is 2684268.Finally, LCM of Fractions for 36/84, 431/81, 519/151 is 2684268.