Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/507, 30/142, 566/714 quickly i.e. 76410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/507, 30/142, 566/714 is 76410.
LCM(27/507, 30/142, 566/714) = 76410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/507,30/142,566/714
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 27,30,566
Least Common Multiple of Numerators i.e. LCM of 27,30,566 is 76410.
GCF of Denominators means GCF of 507,142,714 as per the given fractions.
GCF of 507,142,714 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,30,566
2 | 27, 30, 566 |
3 | 27, 15, 283 |
9, 5, 283 |
∴ So the LCM of the given numbers is 2 x 3 x 9 x 5 x 283 = 76410
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 27,30,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,30,566) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(27,30,566) x common factors =1 x 6 = 6
LCM(27,30,566) = ( 27 × 30 × 566 ) / 6
LCM(27,30,566) = 458460 / 6
LCM(27,30,566) = 76410
Lets's calculate GCF of 507,142,714
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76410/1
Therefore the LCM of Fractions 27/507,30/142,566/714 is 76410
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 507,142,714 . The biggest common factor number is the GCF number.
So the greatest common factor 507,142,714 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 27/507, 30/142, 566/714?
Answer: LCM of Numerators as per given numbers 27/507, 30/142, 566/714 is
LCM of Numerators i.e. for 27,30,566 is 76410
GCF of denominators i.e. for 507,142,714 is 1.
Thus, LCM of Fractions is 76410.Finally, LCM of Fractions for 27/507, 30/142, 566/714 is 76410.