Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6004/454, 8445/5084 quickly i.e. 25351890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6004/454, 8445/5084 is 25351890.
LCM(6004/454, 8445/5084) = 25351890
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6004/454,8445/5084
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 6004,8445
Least Common Multiple of Numerators i.e. LCM of 6004,8445 is 50703780.
GCF of Denominators means GCF of 454,5084 as per the given fractions.
GCF of 454,5084 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6004,8445
Given numbers has no common factors except 1. So, there LCM is their product i.e 50703780
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 6004,8445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6004,8445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6004,8445) x common factors =1 x 1 = 1
LCM(6004,8445) = ( 6004 × 8445 ) / 1
LCM(6004,8445) = 50703780 / 1
LCM(6004,8445) = 50703780
Lets's calculate GCF of 454,5084
2 | 454, 5084 |
227, 2542 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50703780/2
Therefore the LCM of Fractions 6004/454,8445/5084 is 25351890
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Factors of 5084
List of positive integer factors of 5084 that divides 5084 without a remainder.
1,2,4,31,41,62,82,124,164,1271,2542,5084
Greatest Common Factor
We found the factors 454,5084 . The biggest common factor number is the GCF number.
So the greatest common factor 454,5084 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 6004/454, 8445/5084?
Answer: LCM of Numerators as per given numbers 6004/454, 8445/5084 is
LCM of Numerators i.e. for 6004,8445 is 50703780
GCF of denominators i.e. for 454,5084 is 2.
Thus, LCM of Fractions is 25351890.Finally, LCM of Fractions for 6004/454, 8445/5084 is 25351890.