Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/48, 645/39, 783/595 quickly i.e. 505035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/48, 645/39, 783/595 is 505035.
LCM(81/48, 645/39, 783/595) = 505035
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/48,645/39,783/595
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 81,645,783
Least Common Multiple of Numerators i.e. LCM of 81,645,783 is 505035.
GCF of Denominators means GCF of 48,39,595 as per the given fractions.
GCF of 48,39,595 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,645,783
3 | 81, 645, 783 |
3 | 27, 215, 261 |
3 | 9, 215, 87 |
3, 215, 29 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 215 x 29 = 505035
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 81,645,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,645,783) = 3
common factors(in case of two or more numbers have common factors) = 27
GCF(81,645,783) x common factors =3 x 27 = 81
LCM(81,645,783) = ( 81 × 645 × 783 ) / 81
LCM(81,645,783) = 40907835 / 81
LCM(81,645,783) = 505035
Lets's calculate GCF of 48,39,595
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 505035/1
Therefore the LCM of Fractions 81/48,645/39,783/595 is 505035
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Greatest Common Factor
We found the factors 48,39,595 . The biggest common factor number is the GCF number.
So the greatest common factor 48,39,595 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 81/48, 645/39, 783/595?
Answer: LCM of Numerators as per given numbers 81/48, 645/39, 783/595 is
LCM of Numerators i.e. for 81,645,783 is 505035
GCF of denominators i.e. for 48,39,595 is 1.
Thus, LCM of Fractions is 505035.Finally, LCM of Fractions for 81/48, 645/39, 783/595 is 505035.