Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/36, 18/99, 57/276 quickly i.e. 798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/36, 18/99, 57/276 is 798.
LCM(21/36, 18/99, 57/276) = 798
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/36,18/99,57/276
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 21,18,57
Least Common Multiple of Numerators i.e. LCM of 21,18,57 is 2394.
GCF of Denominators means GCF of 36,99,276 as per the given fractions.
GCF of 36,99,276 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,18,57
3 | 21, 18, 57 |
7, 6, 19 |
∴ So the LCM of the given numbers is 3 x 7 x 6 x 19 = 2394
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 21,18,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,18,57) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(21,18,57) x common factors =3 x 3 = 9
LCM(21,18,57) = ( 21 × 18 × 57 ) / 9
LCM(21,18,57) = 21546 / 9
LCM(21,18,57) = 2394
Lets's calculate GCF of 36,99,276
3 | 36, 99, 276 |
12, 33, 92 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2394/3
Therefore the LCM of Fractions 21/36,18/99,57/276 is 798
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 36,99,276 . The biggest common factor number is the GCF number.
So the greatest common factor 36,99,276 is 3.
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 21/36, 18/99, 57/276?
Answer: LCM of Numerators as per given numbers 21/36, 18/99, 57/276 is
LCM of Numerators i.e. for 21,18,57 is 2394
GCF of denominators i.e. for 36,99,276 is 3.
Thus, LCM of Fractions is 798.Finally, LCM of Fractions for 21/36, 18/99, 57/276 is 798.