Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 288/215, 2269/240 quickly i.e. 653472/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 288/215, 2269/240 is 653472/5.
LCM(288/215, 2269/240) = 653472/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 288/215,2269/240
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 288,2269
Least Common Multiple of Numerators i.e. LCM of 288,2269 is 653472.
GCF of Denominators means GCF of 215,240 as per the given fractions.
GCF of 215,240 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 288,2269
Given numbers has no common factors except 1. So, there LCM is their product i.e 653472
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 288,2269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,2269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(288,2269) x common factors =1 x 1 = 1
LCM(288,2269) = ( 288 × 2269 ) / 1
LCM(288,2269) = 653472 / 1
LCM(288,2269) = 653472
Lets's calculate GCF of 215,240
5 | 215, 240 |
43, 48 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 653472/5
Therefore the LCM of Fractions 288/215,2269/240 is 653472/5
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Greatest Common Factor
We found the factors 215,240 . The biggest common factor number is the GCF number.
So the greatest common factor 215,240 is 5.
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 288/215, 2269/240?
Answer: LCM of Numerators as per given numbers 288/215, 2269/240 is
LCM of Numerators i.e. for 288,2269 is 653472
GCF of denominators i.e. for 215,240 is 5.
Thus, LCM of Fractions is 653472/5.Finally, LCM of Fractions for 288/215, 2269/240 is 653472/5.