Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 795/38, 147/7782 quickly i.e. 38955/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 795/38, 147/7782 is 38955/2.
LCM(795/38, 147/7782) = 38955/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 795/38,147/7782
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 795,147
Least Common Multiple of Numerators i.e. LCM of 795,147 is 38955.
GCF of Denominators means GCF of 38,7782 as per the given fractions.
GCF of 38,7782 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 795,147
3 | 795, 147 |
265, 49 |
∴ So the LCM of the given numbers is 3 x 265 x 49 = 38955
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 795,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,147) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(795,147) x common factors =3 x 1 = 3
LCM(795,147) = ( 795 × 147 ) / 3
LCM(795,147) = 116865 / 3
LCM(795,147) = 38955
Lets's calculate GCF of 38,7782
2 | 38, 7782 |
19, 3891 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38955/2
Therefore the LCM of Fractions 795/38,147/7782 is 38955/2
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 7782
List of positive integer factors of 7782 that divides 7782 without a remainder.
1,2,3,6,1297,2594,3891,7782
Greatest Common Factor
We found the factors 38,7782 . The biggest common factor number is the GCF number.
So the greatest common factor 38,7782 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 795/38, 147/7782?
Answer: LCM of Numerators as per given numbers 795/38, 147/7782 is
LCM of Numerators i.e. for 795,147 is 38955
GCF of denominators i.e. for 38,7782 is 2.
Thus, LCM of Fractions is 38955/2.Finally, LCM of Fractions for 795/38, 147/7782 is 38955/2.