Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 545/471, 8388/3093 quickly i.e. 1523820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 545/471, 8388/3093 is 1523820.
LCM(545/471, 8388/3093) = 1523820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 545/471,8388/3093
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 545,8388
Least Common Multiple of Numerators i.e. LCM of 545,8388 is 4571460.
GCF of Denominators means GCF of 471,3093 as per the given fractions.
GCF of 471,3093 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 545,8388
Given numbers has no common factors except 1. So, there LCM is their product i.e 4571460
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 545,8388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,8388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(545,8388) x common factors =1 x 1 = 1
LCM(545,8388) = ( 545 × 8388 ) / 1
LCM(545,8388) = 4571460 / 1
LCM(545,8388) = 4571460
Lets's calculate GCF of 471,3093
3 | 471, 3093 |
157, 1031 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4571460/3
Therefore the LCM of Fractions 545/471,8388/3093 is 1523820
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Factors of 3093
List of positive integer factors of 3093 that divides 3093 without a remainder.
1,3,1031,3093
Greatest Common Factor
We found the factors 471,3093 . The biggest common factor number is the GCF number.
So the greatest common factor 471,3093 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 545/471, 8388/3093?
Answer: LCM of Numerators as per given numbers 545/471, 8388/3093 is
LCM of Numerators i.e. for 545,8388 is 4571460
GCF of denominators i.e. for 471,3093 is 3.
Thus, LCM of Fractions is 1523820.Finally, LCM of Fractions for 545/471, 8388/3093 is 1523820.