Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 288/372, 993/387 quickly i.e. 31776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 288/372, 993/387 is 31776.
LCM(288/372, 993/387) = 31776
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 288/372,993/387
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 288,993
Least Common Multiple of Numerators i.e. LCM of 288,993 is 95328.
GCF of Denominators means GCF of 372,387 as per the given fractions.
GCF of 372,387 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 288,993
3 | 288, 993 |
96, 331 |
∴ So the LCM of the given numbers is 3 x 96 x 331 = 95328
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 288,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,993) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(288,993) x common factors =3 x 1 = 3
LCM(288,993) = ( 288 × 993 ) / 3
LCM(288,993) = 285984 / 3
LCM(288,993) = 95328
Lets's calculate GCF of 372,387
3 | 372, 387 |
124, 129 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95328/3
Therefore the LCM of Fractions 288/372,993/387 is 31776
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 372,387 . The biggest common factor number is the GCF number.
So the greatest common factor 372,387 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 288/372, 993/387?
Answer: LCM of Numerators as per given numbers 288/372, 993/387 is
LCM of Numerators i.e. for 288,993 is 95328
GCF of denominators i.e. for 372,387 is 3.
Thus, LCM of Fractions is 31776.Finally, LCM of Fractions for 288/372, 993/387 is 31776.