Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 104/85, 328/4457 quickly i.e. 4264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 104/85, 328/4457 is 4264.
LCM(104/85, 328/4457) = 4264
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 104/85,328/4457
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 104,328
Least Common Multiple of Numerators i.e. LCM of 104,328 is 4264.
GCF of Denominators means GCF of 85,4457 as per the given fractions.
GCF of 85,4457 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 104,328
2 | 104, 328 |
2 | 52, 164 |
2 | 26, 82 |
13, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 41 = 4264
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 104,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,328) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(104,328) x common factors =8 x 1 = 8
LCM(104,328) = ( 104 × 328 ) / 8
LCM(104,328) = 34112 / 8
LCM(104,328) = 4264
Lets's calculate GCF of 85,4457
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4264/1
Therefore the LCM of Fractions 104/85,328/4457 is 4264
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 4457
List of positive integer factors of 4457 that divides 4457 without a remainder.
1,4457
Greatest Common Factor
We found the factors 85,4457 . The biggest common factor number is the GCF number.
So the greatest common factor 85,4457 is 1.
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 104/85, 328/4457?
Answer: LCM of Numerators as per given numbers 104/85, 328/4457 is
LCM of Numerators i.e. for 104,328 is 4264
GCF of denominators i.e. for 85,4457 is 1.
Thus, LCM of Fractions is 4264.Finally, LCM of Fractions for 104/85, 328/4457 is 4264.