Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/711, 66/541, 820/361 quickly i.e. 81180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/711, 66/541, 820/361 is 81180.
LCM(99/711, 66/541, 820/361) = 81180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/711,66/541,820/361
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 99,66,820
Least Common Multiple of Numerators i.e. LCM of 99,66,820 is 81180.
GCF of Denominators means GCF of 711,541,361 as per the given fractions.
GCF of 711,541,361 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,66,820
2 | 99, 66, 820 |
3 | 99, 33, 410 |
11 | 11, 33, 410 |
1, 3, 410 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 3 x 410 = 81180
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 99,66,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,66,820) = 1
common factors(in case of two or more numbers have common factors) = 66
GCF(99,66,820) x common factors =1 x 66 = 66
LCM(99,66,820) = ( 99 × 66 × 820 ) / 66
LCM(99,66,820) = 5357880 / 66
LCM(99,66,820) = 81180
Lets's calculate GCF of 711,541,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81180/1
Therefore the LCM of Fractions 99/711,66/541,820/361 is 81180
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Greatest Common Factor
We found the factors 711,541,361 . The biggest common factor number is the GCF number.
So the greatest common factor 711,541,361 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 99/711, 66/541, 820/361?
Answer: LCM of Numerators as per given numbers 99/711, 66/541, 820/361 is
LCM of Numerators i.e. for 99,66,820 is 81180
GCF of denominators i.e. for 711,541,361 is 1.
Thus, LCM of Fractions is 81180.Finally, LCM of Fractions for 99/711, 66/541, 820/361 is 81180.