Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7212/15, 2404/315 quickly i.e. 7212/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7212/15, 2404/315 is 7212/15.
LCM(7212/15, 2404/315) = 7212/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7212/15,2404/315
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 7212,2404
Least Common Multiple of Numerators i.e. LCM of 7212,2404 is 7212.
GCF of Denominators means GCF of 15,315 as per the given fractions.
GCF of 15,315 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7212,2404
2 | 7212, 2404 |
2 | 3606, 1202 |
601 | 1803, 601 |
3, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 601 x 3 x 1 = 7212
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 7212,2404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7212,2404) = 2404
common factors(in case of two or more numbers have common factors) = 1
GCF(7212,2404) x common factors =2404 x 1 = 2404
LCM(7212,2404) = ( 7212 × 2404 ) / 2404
LCM(7212,2404) = 17337648 / 2404
LCM(7212,2404) = 7212
Lets's calculate GCF of 15,315
3 | 15, 315 |
5 | 5, 105 |
1, 21 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7212/15
Therefore the LCM of Fractions 7212/15,2404/315 is 7212/15
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 15,315 . The biggest common factor number is the GCF number.
So the greatest common factor 15,315 is 15.
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 7212/15, 2404/315?
Answer: LCM of Numerators as per given numbers 7212/15, 2404/315 is
LCM of Numerators i.e. for 7212,2404 is 7212
GCF of denominators i.e. for 15,315 is 15.
Thus, LCM of Fractions is 7212/15.Finally, LCM of Fractions for 7212/15, 2404/315 is 7212/15.