Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/618, 48/795, 123/135 quickly i.e. 3280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/618, 48/795, 123/135 is 3280.
LCM(10/618, 48/795, 123/135) = 3280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/618,48/795,123/135
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 10,48,123
Least Common Multiple of Numerators i.e. LCM of 10,48,123 is 9840.
GCF of Denominators means GCF of 618,795,135 as per the given fractions.
GCF of 618,795,135 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,48,123
2 | 10, 48, 123 |
3 | 5, 24, 123 |
5, 8, 41 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 8 x 41 = 9840
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 10,48,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,48,123) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(10,48,123) x common factors =1 x 6 = 6
LCM(10,48,123) = ( 10 × 48 × 123 ) / 6
LCM(10,48,123) = 59040 / 6
LCM(10,48,123) = 9840
Lets's calculate GCF of 618,795,135
3 | 618, 795, 135 |
206, 265, 45 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9840/3
Therefore the LCM of Fractions 10/618,48/795,123/135 is 3280
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Greatest Common Factor
We found the factors 618,795,135 . The biggest common factor number is the GCF number.
So the greatest common factor 618,795,135 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 10/618, 48/795, 123/135?
Answer: LCM of Numerators as per given numbers 10/618, 48/795, 123/135 is
LCM of Numerators i.e. for 10,48,123 is 9840
GCF of denominators i.e. for 618,795,135 is 3.
Thus, LCM of Fractions is 3280.Finally, LCM of Fractions for 10/618, 48/795, 123/135 is 3280.