Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/28, 96/10, 75/22, 57/648 quickly i.e. 250800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/28, 96/10, 75/22, 57/648 is 250800.
LCM(33/28, 96/10, 75/22, 57/648) = 250800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/28,96/10,75/22,57/648
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 33,96,75,57
Least Common Multiple of Numerators i.e. LCM of 33,96,75,57 is 501600.
GCF of Denominators means GCF of 28,10,22,648 as per the given fractions.
GCF of 28,10,22,648 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,96,75,57
3 | 33, 96, 75, 57 |
11, 32, 25, 19 |
∴ So the LCM of the given numbers is 3 x 11 x 32 x 25 x 19 = 501600
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 33,96,75,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,96,75,57) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(33,96,75,57) x common factors =3 x 9 = 27
LCM(33,96,75,57) = ( 33 × 96 × 75 × 57 ) / 27
LCM(33,96,75,57) = 13543200 / 27
LCM(33,96,75,57) = 501600
Lets's calculate GCF of 28,10,22,648
2 | 28, 10, 22, 648 |
14, 5, 11, 324 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 501600/2
Therefore the LCM of Fractions 33/28,96/10,75/22,57/648 is 250800
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 28,10,22,648 . The biggest common factor number is the GCF number.
So the greatest common factor 28,10,22,648 is 2.
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 33/28, 96/10, 75/22, 57/648?
Answer: LCM of Numerators as per given numbers 33/28, 96/10, 75/22, 57/648 is
LCM of Numerators i.e. for 33,96,75,57 is 501600
GCF of denominators i.e. for 28,10,22,648 is 2.
Thus, LCM of Fractions is 250800.Finally, LCM of Fractions for 33/28, 96/10, 75/22, 57/648 is 250800.