Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/45, 12/369, 681/128 quickly i.e. 10896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/45, 12/369, 681/128 is 10896.
LCM(48/45, 12/369, 681/128) = 10896
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/45,12/369,681/128
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 48,12,681
Least Common Multiple of Numerators i.e. LCM of 48,12,681 is 10896.
GCF of Denominators means GCF of 45,369,128 as per the given fractions.
GCF of 45,369,128 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,12,681
2 | 48, 12, 681 |
2 | 24, 6, 681 |
3 | 12, 3, 681 |
4, 1, 227 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 1 x 227 = 10896
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 48,12,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,12,681) = 3
common factors(in case of two or more numbers have common factors) = 12
GCF(48,12,681) x common factors =3 x 12 = 36
LCM(48,12,681) = ( 48 × 12 × 681 ) / 36
LCM(48,12,681) = 392256 / 36
LCM(48,12,681) = 10896
Lets's calculate GCF of 45,369,128
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10896/1
Therefore the LCM of Fractions 48/45,12/369,681/128 is 10896
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Greatest Common Factor
We found the factors 45,369,128 . The biggest common factor number is the GCF number.
So the greatest common factor 45,369,128 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 48/45, 12/369, 681/128?
Answer: LCM of Numerators as per given numbers 48/45, 12/369, 681/128 is
LCM of Numerators i.e. for 48,12,681 is 10896
GCF of denominators i.e. for 45,369,128 is 1.
Thus, LCM of Fractions is 10896.Finally, LCM of Fractions for 48/45, 12/369, 681/128 is 10896.