Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/451, 53/173, 483/658 quickly i.e. 2406306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/451, 53/173, 483/658 is 2406306.
LCM(94/451, 53/173, 483/658) = 2406306
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/451,53/173,483/658
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 94,53,483
Least Common Multiple of Numerators i.e. LCM of 94,53,483 is 2406306.
GCF of Denominators means GCF of 451,173,658 as per the given fractions.
GCF of 451,173,658 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,53,483
Given numbers has no common factors except 1. So, there LCM is their product i.e 2406306
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 94,53,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,53,483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,53,483) x common factors =1 x 1 = 1
LCM(94,53,483) = ( 94 × 53 × 483 ) / 1
LCM(94,53,483) = 2406306 / 1
LCM(94,53,483) = 2406306
Lets's calculate GCF of 451,173,658
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2406306/1
Therefore the LCM of Fractions 94/451,53/173,483/658 is 2406306
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 451,173,658 . The biggest common factor number is the GCF number.
So the greatest common factor 451,173,658 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 94/451, 53/173, 483/658?
Answer: LCM of Numerators as per given numbers 94/451, 53/173, 483/658 is
LCM of Numerators i.e. for 94,53,483 is 2406306
GCF of denominators i.e. for 451,173,658 is 1.
Thus, LCM of Fractions is 2406306.Finally, LCM of Fractions for 94/451, 53/173, 483/658 is 2406306.