Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 606/527, 364/109, 981/613 quickly i.e. 36065484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 606/527, 364/109, 981/613 is 36065484.
LCM(606/527, 364/109, 981/613) = 36065484
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 606/527,364/109,981/613
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 606,364,981
Least Common Multiple of Numerators i.e. LCM of 606,364,981 is 36065484.
GCF of Denominators means GCF of 527,109,613 as per the given fractions.
GCF of 527,109,613 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 606,364,981
2 | 606, 364, 981 |
3 | 303, 182, 981 |
101, 182, 327 |
∴ So the LCM of the given numbers is 2 x 3 x 101 x 182 x 327 = 36065484
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 606,364,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,364,981) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(606,364,981) x common factors =1 x 6 = 6
LCM(606,364,981) = ( 606 × 364 × 981 ) / 6
LCM(606,364,981) = 216392904 / 6
LCM(606,364,981) = 36065484
Lets's calculate GCF of 527,109,613
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36065484/1
Therefore the LCM of Fractions 606/527,364/109,981/613 is 36065484
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Greatest Common Factor
We found the factors 527,109,613 . The biggest common factor number is the GCF number.
So the greatest common factor 527,109,613 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 606/527, 364/109, 981/613?
Answer: LCM of Numerators as per given numbers 606/527, 364/109, 981/613 is
LCM of Numerators i.e. for 606,364,981 is 36065484
GCF of denominators i.e. for 527,109,613 is 1.
Thus, LCM of Fractions is 36065484.Finally, LCM of Fractions for 606/527, 364/109, 981/613 is 36065484.