Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/45, 517/69, 998/138 quickly i.e. 9803354/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/45, 517/69, 998/138 is 9803354/3.
LCM(38/45, 517/69, 998/138) = 9803354/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/45,517/69,998/138
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 38,517,998
Least Common Multiple of Numerators i.e. LCM of 38,517,998 is 9803354.
GCF of Denominators means GCF of 45,69,138 as per the given fractions.
GCF of 45,69,138 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,517,998
2 | 38, 517, 998 |
19, 517, 499 |
∴ So the LCM of the given numbers is 2 x 19 x 517 x 499 = 9803354
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 38,517,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,517,998) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(38,517,998) x common factors =1 x 2 = 2
LCM(38,517,998) = ( 38 × 517 × 998 ) / 2
LCM(38,517,998) = 19606708 / 2
LCM(38,517,998) = 9803354
Lets's calculate GCF of 45,69,138
3 | 45, 69, 138 |
15, 23, 46 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9803354/3
Therefore the LCM of Fractions 38/45,517/69,998/138 is 9803354/3
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 45,69,138 . The biggest common factor number is the GCF number.
So the greatest common factor 45,69,138 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 38/45, 517/69, 998/138?
Answer: LCM of Numerators as per given numbers 38/45, 517/69, 998/138 is
LCM of Numerators i.e. for 38,517,998 is 9803354
GCF of denominators i.e. for 45,69,138 is 3.
Thus, LCM of Fractions is 9803354/3.Finally, LCM of Fractions for 38/45, 517/69, 998/138 is 9803354/3.