Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/21, 264/76, 327/495 quickly i.e. 86328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/21, 264/76, 327/495 is 86328.
LCM(18/21, 264/76, 327/495) = 86328
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/21,264/76,327/495
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 18,264,327
Least Common Multiple of Numerators i.e. LCM of 18,264,327 is 86328.
GCF of Denominators means GCF of 21,76,495 as per the given fractions.
GCF of 21,76,495 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,264,327
2 | 18, 264, 327 |
3 | 9, 132, 327 |
3, 44, 109 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 44 x 109 = 86328
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 18,264,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,264,327) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(18,264,327) x common factors =3 x 6 = 18
LCM(18,264,327) = ( 18 × 264 × 327 ) / 18
LCM(18,264,327) = 1553904 / 18
LCM(18,264,327) = 86328
Lets's calculate GCF of 21,76,495
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86328/1
Therefore the LCM of Fractions 18/21,264/76,327/495 is 86328
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 21,76,495 . The biggest common factor number is the GCF number.
So the greatest common factor 21,76,495 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 18/21, 264/76, 327/495?
Answer: LCM of Numerators as per given numbers 18/21, 264/76, 327/495 is
LCM of Numerators i.e. for 18,264,327 is 86328
GCF of denominators i.e. for 21,76,495 is 1.
Thus, LCM of Fractions is 86328.Finally, LCM of Fractions for 18/21, 264/76, 327/495 is 86328.