Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 507/806, 810/570, 906/641 quickly i.e. 20670390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 507/806, 810/570, 906/641 is 20670390.
LCM(507/806, 810/570, 906/641) = 20670390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 507/806,810/570,906/641
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 507,810,906
Least Common Multiple of Numerators i.e. LCM of 507,810,906 is 20670390.
GCF of Denominators means GCF of 806,570,641 as per the given fractions.
GCF of 806,570,641 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 507,810,906
2 | 507, 810, 906 |
3 | 507, 405, 453 |
169, 135, 151 |
∴ So the LCM of the given numbers is 2 x 3 x 169 x 135 x 151 = 20670390
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 507,810,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,810,906) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(507,810,906) x common factors =3 x 6 = 18
LCM(507,810,906) = ( 507 × 810 × 906 ) / 18
LCM(507,810,906) = 372067020 / 18
LCM(507,810,906) = 20670390
Lets's calculate GCF of 806,570,641
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20670390/1
Therefore the LCM of Fractions 507/806,810/570,906/641 is 20670390
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Greatest Common Factor
We found the factors 806,570,641 . The biggest common factor number is the GCF number.
So the greatest common factor 806,570,641 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 507/806, 810/570, 906/641?
Answer: LCM of Numerators as per given numbers 507/806, 810/570, 906/641 is
LCM of Numerators i.e. for 507,810,906 is 20670390
GCF of denominators i.e. for 806,570,641 is 1.
Thus, LCM of Fractions is 20670390.Finally, LCM of Fractions for 507/806, 810/570, 906/641 is 20670390.