Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 655/42, 133/81, 850/810 quickly i.e. 14809550/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 655/42, 133/81, 850/810 is 14809550/3.
LCM(655/42, 133/81, 850/810) = 14809550/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 655/42,133/81,850/810
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 655,133,850
Least Common Multiple of Numerators i.e. LCM of 655,133,850 is 14809550.
GCF of Denominators means GCF of 42,81,810 as per the given fractions.
GCF of 42,81,810 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 655,133,850
5 | 655, 133, 850 |
131, 133, 170 |
∴ So the LCM of the given numbers is 5 x 131 x 133 x 170 = 14809550
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 655,133,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,133,850) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(655,133,850) x common factors =1 x 5 = 5
LCM(655,133,850) = ( 655 × 133 × 850 ) / 5
LCM(655,133,850) = 74047750 / 5
LCM(655,133,850) = 14809550
Lets's calculate GCF of 42,81,810
3 | 42, 81, 810 |
14, 27, 270 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14809550/3
Therefore the LCM of Fractions 655/42,133/81,850/810 is 14809550/3
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 42,81,810 . The biggest common factor number is the GCF number.
So the greatest common factor 42,81,810 is 3.
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 655/42, 133/81, 850/810?
Answer: LCM of Numerators as per given numbers 655/42, 133/81, 850/810 is
LCM of Numerators i.e. for 655,133,850 is 14809550
GCF of denominators i.e. for 42,81,810 is 3.
Thus, LCM of Fractions is 14809550/3.Finally, LCM of Fractions for 655/42, 133/81, 850/810 is 14809550/3.