Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/286, 53/491, 464/453 quickly i.e. 2385424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/286, 53/491, 464/453 is 2385424.
LCM(97/286, 53/491, 464/453) = 2385424
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/286,53/491,464/453
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 97,53,464
Least Common Multiple of Numerators i.e. LCM of 97,53,464 is 2385424.
GCF of Denominators means GCF of 286,491,453 as per the given fractions.
GCF of 286,491,453 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,53,464
Given numbers has no common factors except 1. So, there LCM is their product i.e 2385424
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 97,53,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,53,464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,53,464) x common factors =1 x 1 = 1
LCM(97,53,464) = ( 97 × 53 × 464 ) / 1
LCM(97,53,464) = 2385424 / 1
LCM(97,53,464) = 2385424
Lets's calculate GCF of 286,491,453
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2385424/1
Therefore the LCM of Fractions 97/286,53/491,464/453 is 2385424
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Greatest Common Factor
We found the factors 286,491,453 . The biggest common factor number is the GCF number.
So the greatest common factor 286,491,453 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 97/286, 53/491, 464/453?
Answer: LCM of Numerators as per given numbers 97/286, 53/491, 464/453 is
LCM of Numerators i.e. for 97,53,464 is 2385424
GCF of denominators i.e. for 286,491,453 is 1.
Thus, LCM of Fractions is 2385424.Finally, LCM of Fractions for 97/286, 53/491, 464/453 is 2385424.