Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 454/406, 9915/529 quickly i.e. 4501410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 454/406, 9915/529 is 4501410.
LCM(454/406, 9915/529) = 4501410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 454/406,9915/529
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 454,9915
Least Common Multiple of Numerators i.e. LCM of 454,9915 is 4501410.
GCF of Denominators means GCF of 406,529 as per the given fractions.
GCF of 406,529 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 454,9915
Given numbers has no common factors except 1. So, there LCM is their product i.e 4501410
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 454,9915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,9915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,9915) x common factors =1 x 1 = 1
LCM(454,9915) = ( 454 × 9915 ) / 1
LCM(454,9915) = 4501410 / 1
LCM(454,9915) = 4501410
Lets's calculate GCF of 406,529
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4501410/1
Therefore the LCM of Fractions 454/406,9915/529 is 4501410
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Greatest Common Factor
We found the factors 406,529 . The biggest common factor number is the GCF number.
So the greatest common factor 406,529 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 454/406, 9915/529?
Answer: LCM of Numerators as per given numbers 454/406, 9915/529 is
LCM of Numerators i.e. for 454,9915 is 4501410
GCF of denominators i.e. for 406,529 is 1.
Thus, LCM of Fractions is 4501410.Finally, LCM of Fractions for 454/406, 9915/529 is 4501410.