Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/476, 2370/6863 quickly i.e. 21330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/476, 2370/6863 is 21330.
LCM(27/476, 2370/6863) = 21330
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/476,2370/6863
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 27,2370
Least Common Multiple of Numerators i.e. LCM of 27,2370 is 21330.
GCF of Denominators means GCF of 476,6863 as per the given fractions.
GCF of 476,6863 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,2370
3 | 27, 2370 |
9, 790 |
∴ So the LCM of the given numbers is 3 x 9 x 790 = 21330
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 27,2370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,2370) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(27,2370) x common factors =3 x 1 = 3
LCM(27,2370) = ( 27 × 2370 ) / 3
LCM(27,2370) = 63990 / 3
LCM(27,2370) = 21330
Lets's calculate GCF of 476,6863
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21330/1
Therefore the LCM of Fractions 27/476,2370/6863 is 21330
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Factors of 6863
List of positive integer factors of 6863 that divides 6863 without a remainder.
1,6863
Greatest Common Factor
We found the factors 476,6863 . The biggest common factor number is the GCF number.
So the greatest common factor 476,6863 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 27/476, 2370/6863?
Answer: LCM of Numerators as per given numbers 27/476, 2370/6863 is
LCM of Numerators i.e. for 27,2370 is 21330
GCF of denominators i.e. for 476,6863 is 1.
Thus, LCM of Fractions is 21330.Finally, LCM of Fractions for 27/476, 2370/6863 is 21330.