Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/455, 8041/8668 quickly i.e. 603075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/455, 8041/8668 is 603075.
LCM(75/455, 8041/8668) = 603075
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/455,8041/8668
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 75,8041
Least Common Multiple of Numerators i.e. LCM of 75,8041 is 603075.
GCF of Denominators means GCF of 455,8668 as per the given fractions.
GCF of 455,8668 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,8041
Given numbers has no common factors except 1. So, there LCM is their product i.e 603075
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 75,8041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,8041) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,8041) x common factors =1 x 1 = 1
LCM(75,8041) = ( 75 × 8041 ) / 1
LCM(75,8041) = 603075 / 1
LCM(75,8041) = 603075
Lets's calculate GCF of 455,8668
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 603075/1
Therefore the LCM of Fractions 75/455,8041/8668 is 603075
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 8668
List of positive integer factors of 8668 that divides 8668 without a remainder.
1,2,4,11,22,44,197,394,788,2167,4334,8668
Greatest Common Factor
We found the factors 455,8668 . The biggest common factor number is the GCF number.
So the greatest common factor 455,8668 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 75/455, 8041/8668?
Answer: LCM of Numerators as per given numbers 75/455, 8041/8668 is
LCM of Numerators i.e. for 75,8041 is 603075
GCF of denominators i.e. for 455,8668 is 1.
Thus, LCM of Fractions is 603075.Finally, LCM of Fractions for 75/455, 8041/8668 is 603075.