Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9954/485, 8494/4657 quickly i.e. 42274638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9954/485, 8494/4657 is 42274638.
LCM(9954/485, 8494/4657) = 42274638
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9954/485,8494/4657
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 9954,8494
Least Common Multiple of Numerators i.e. LCM of 9954,8494 is 42274638.
GCF of Denominators means GCF of 485,4657 as per the given fractions.
GCF of 485,4657 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9954,8494
2 | 9954, 8494 |
4977, 4247 |
∴ So the LCM of the given numbers is 2 x 4977 x 4247 = 42274638
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 9954,8494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9954,8494) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9954,8494) x common factors =2 x 1 = 2
LCM(9954,8494) = ( 9954 × 8494 ) / 2
LCM(9954,8494) = 84549276 / 2
LCM(9954,8494) = 42274638
Lets's calculate GCF of 485,4657
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42274638/1
Therefore the LCM of Fractions 9954/485,8494/4657 is 42274638
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Factors of 4657
List of positive integer factors of 4657 that divides 4657 without a remainder.
1,4657
Greatest Common Factor
We found the factors 485,4657 . The biggest common factor number is the GCF number.
So the greatest common factor 485,4657 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 9954/485, 8494/4657?
Answer: LCM of Numerators as per given numbers 9954/485, 8494/4657 is
LCM of Numerators i.e. for 9954,8494 is 42274638
GCF of denominators i.e. for 485,4657 is 1.
Thus, LCM of Fractions is 42274638.Finally, LCM of Fractions for 9954/485, 8494/4657 is 42274638.