Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/65, 925/81, 500/159 quickly i.e. 388500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/65, 925/81, 500/159 is 388500.
LCM(84/65, 925/81, 500/159) = 388500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/65,925/81,500/159
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 84,925,500
Least Common Multiple of Numerators i.e. LCM of 84,925,500 is 388500.
GCF of Denominators means GCF of 65,81,159 as per the given fractions.
GCF of 65,81,159 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,925,500
2 | 84, 925, 500 |
2 | 42, 925, 250 |
5 | 21, 925, 125 |
5 | 21, 185, 25 |
21, 37, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 21 x 37 x 5 = 388500
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 84,925,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,925,500) = 1
common factors(in case of two or more numbers have common factors) = 100
GCF(84,925,500) x common factors =1 x 100 = 100
LCM(84,925,500) = ( 84 × 925 × 500 ) / 100
LCM(84,925,500) = 38850000 / 100
LCM(84,925,500) = 388500
Lets's calculate GCF of 65,81,159
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 388500/1
Therefore the LCM of Fractions 84/65,925/81,500/159 is 388500
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Greatest Common Factor
We found the factors 65,81,159 . The biggest common factor number is the GCF number.
So the greatest common factor 65,81,159 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 84/65, 925/81, 500/159?
Answer: LCM of Numerators as per given numbers 84/65, 925/81, 500/159 is
LCM of Numerators i.e. for 84,925,500 is 388500
GCF of denominators i.e. for 65,81,159 is 1.
Thus, LCM of Fractions is 388500.Finally, LCM of Fractions for 84/65, 925/81, 500/159 is 388500.