Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 485/85, 655/3415 quickly i.e. 12707 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 485/85, 655/3415 is 12707.
LCM(485/85, 655/3415) = 12707
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 485/85,655/3415
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 485,655
Least Common Multiple of Numerators i.e. LCM of 485,655 is 63535.
GCF of Denominators means GCF of 85,3415 as per the given fractions.
GCF of 85,3415 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 485,655
5 | 485, 655 |
97, 131 |
∴ So the LCM of the given numbers is 5 x 97 x 131 = 63535
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 485,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,655) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(485,655) x common factors =5 x 1 = 5
LCM(485,655) = ( 485 × 655 ) / 5
LCM(485,655) = 317675 / 5
LCM(485,655) = 63535
Lets's calculate GCF of 85,3415
5 | 85, 3415 |
17, 683 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63535/5
Therefore the LCM of Fractions 485/85,655/3415 is 12707
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 3415
List of positive integer factors of 3415 that divides 3415 without a remainder.
1,5,683,3415
Greatest Common Factor
We found the factors 85,3415 . The biggest common factor number is the GCF number.
So the greatest common factor 85,3415 is 5.
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 485/85, 655/3415?
Answer: LCM of Numerators as per given numbers 485/85, 655/3415 is
LCM of Numerators i.e. for 485,655 is 63535
GCF of denominators i.e. for 85,3415 is 5.
Thus, LCM of Fractions is 12707.Finally, LCM of Fractions for 485/85, 655/3415 is 12707.