Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 615/782, 9168/323 quickly i.e. 1879440/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 615/782, 9168/323 is 1879440/17.
LCM(615/782, 9168/323) = 1879440/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 615/782,9168/323
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 615,9168
Least Common Multiple of Numerators i.e. LCM of 615,9168 is 1879440.
GCF of Denominators means GCF of 782,323 as per the given fractions.
GCF of 782,323 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 615,9168
3 | 615, 9168 |
205, 3056 |
∴ So the LCM of the given numbers is 3 x 205 x 3056 = 1879440
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 615,9168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,9168) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(615,9168) x common factors =3 x 1 = 3
LCM(615,9168) = ( 615 × 9168 ) / 3
LCM(615,9168) = 5638320 / 3
LCM(615,9168) = 1879440
Lets's calculate GCF of 782,323
17 | 782, 323 |
46, 19 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1879440/17
Therefore the LCM of Fractions 615/782,9168/323 is 1879440/17
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Greatest Common Factor
We found the factors 782,323 . The biggest common factor number is the GCF number.
So the greatest common factor 782,323 is 17.
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 615/782, 9168/323?
Answer: LCM of Numerators as per given numbers 615/782, 9168/323 is
LCM of Numerators i.e. for 615,9168 is 1879440
GCF of denominators i.e. for 782,323 is 17.
Thus, LCM of Fractions is 1879440/17.Finally, LCM of Fractions for 615/782, 9168/323 is 1879440/17.