Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 810/87, 840/79, 483/781 quickly i.e. 521640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 810/87, 840/79, 483/781 is 521640.
LCM(810/87, 840/79, 483/781) = 521640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 810/87,840/79,483/781
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 810,840,483
Least Common Multiple of Numerators i.e. LCM of 810,840,483 is 521640.
GCF of Denominators means GCF of 87,79,781 as per the given fractions.
GCF of 87,79,781 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 810,840,483
2 | 810, 840, 483 |
3 | 405, 420, 483 |
5 | 135, 140, 161 |
7 | 27, 28, 161 |
27, 4, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 27 x 4 x 23 = 521640
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 810,840,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,840,483) = 3
common factors(in case of two or more numbers have common factors) = 210
GCF(810,840,483) x common factors =3 x 210 = 630
LCM(810,840,483) = ( 810 × 840 × 483 ) / 630
LCM(810,840,483) = 328633200 / 630
LCM(810,840,483) = 521640
Lets's calculate GCF of 87,79,781
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 521640/1
Therefore the LCM of Fractions 810/87,840/79,483/781 is 521640
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Greatest Common Factor
We found the factors 87,79,781 . The biggest common factor number is the GCF number.
So the greatest common factor 87,79,781 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 810/87, 840/79, 483/781?
Answer: LCM of Numerators as per given numbers 810/87, 840/79, 483/781 is
LCM of Numerators i.e. for 810,840,483 is 521640
GCF of denominators i.e. for 87,79,781 is 1.
Thus, LCM of Fractions is 521640.Finally, LCM of Fractions for 810/87, 840/79, 483/781 is 521640.