Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9120/201, 2473/3498 quickly i.e. 7517920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9120/201, 2473/3498 is 7517920.
LCM(9120/201, 2473/3498) = 7517920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9120/201,2473/3498
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 9120,2473
Least Common Multiple of Numerators i.e. LCM of 9120,2473 is 22553760.
GCF of Denominators means GCF of 201,3498 as per the given fractions.
GCF of 201,3498 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9120,2473
Given numbers has no common factors except 1. So, there LCM is their product i.e 22553760
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 9120,2473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9120,2473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9120,2473) x common factors =1 x 1 = 1
LCM(9120,2473) = ( 9120 × 2473 ) / 1
LCM(9120,2473) = 22553760 / 1
LCM(9120,2473) = 22553760
Lets's calculate GCF of 201,3498
3 | 201, 3498 |
67, 1166 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22553760/3
Therefore the LCM of Fractions 9120/201,2473/3498 is 7517920
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Factors of 3498
List of positive integer factors of 3498 that divides 3498 without a remainder.
1,2,3,6,11,22,33,53,66,106,159,318,583,1166,1749,3498
Greatest Common Factor
We found the factors 201,3498 . The biggest common factor number is the GCF number.
So the greatest common factor 201,3498 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 9120/201, 2473/3498?
Answer: LCM of Numerators as per given numbers 9120/201, 2473/3498 is
LCM of Numerators i.e. for 9120,2473 is 22553760
GCF of denominators i.e. for 201,3498 is 3.
Thus, LCM of Fractions is 7517920.Finally, LCM of Fractions for 9120/201, 2473/3498 is 7517920.