Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/333, 4518/2397 quickly i.e. 146082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/333, 4518/2397 is 146082.
LCM(97/333, 4518/2397) = 146082
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/333,4518/2397
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 97,4518
Least Common Multiple of Numerators i.e. LCM of 97,4518 is 438246.
GCF of Denominators means GCF of 333,2397 as per the given fractions.
GCF of 333,2397 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,4518
Given numbers has no common factors except 1. So, there LCM is their product i.e 438246
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 97,4518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,4518) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,4518) x common factors =1 x 1 = 1
LCM(97,4518) = ( 97 × 4518 ) / 1
LCM(97,4518) = 438246 / 1
LCM(97,4518) = 438246
Lets's calculate GCF of 333,2397
3 | 333, 2397 |
111, 799 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 438246/3
Therefore the LCM of Fractions 97/333,4518/2397 is 146082
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Factors of 2397
List of positive integer factors of 2397 that divides 2397 without a remainder.
1,3,17,47,51,141,799,2397
Greatest Common Factor
We found the factors 333,2397 . The biggest common factor number is the GCF number.
So the greatest common factor 333,2397 is 3.
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 97/333, 4518/2397?
Answer: LCM of Numerators as per given numbers 97/333, 4518/2397 is
LCM of Numerators i.e. for 97,4518 is 438246
GCF of denominators i.e. for 333,2397 is 3.
Thus, LCM of Fractions is 146082.Finally, LCM of Fractions for 97/333, 4518/2397 is 146082.