LCM of 288 and 295
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 288 and 295 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 84960 as output. Here you can check the answer for Find the LCM of 288 and 295.
What is LCM of 288 and 295
Given Numbers are 288, 295
We can find the LCM of 288, 295 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 288 and 295
Multiples of 288 =288,576,864,1152,1440,1728,2016,2304,2592,2880,3168,3456,3744,4032,4320,4608,4896,
Multiples of 295 =295,590,885,1180,1475,1770,2065,2360,2655,2950,3245,3540,3835,4130,4425,4720,5015,
Now, get the least common multiple of 288, 295 which is 84960
So, the LCM of 288, 295 is 84960.
Least Common Multiple (LCM) of 288 and 295 with the help of Prime Factorisation
One method for determining the LCM of 288 and 295 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:
Here is 288's prime factorization:
| 2 | 288 |
| 2 | 144 |
| 2 | 72 |
| 2 | 36 |
| 2 | 18 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 288 are 2,3.
288 = 25×32
And this is 295's prime factorization:
| 5 | 295 |
| 59 | 59 |
| 1 |
Prime factors of 295 are 5,59.
295 = 51×591
When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2,3, 5,59
.25×32×51×591 = 84960
This shows that the LCM of 288 and 295 is 84960.
How to Calculate the LCM of 288 and 295 Using Common Multiples
The first step in determining the Least Common Multiple of 288 and 295 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 288 and 295:
Lets look at the first ten multiples of these numbers, 288 and 295:
288,576,864,1152,1440,1728,2016,2304,2592,4896 are the first ten multiples of 288.
295,590,885,1180,1475,1770,2065,2360,2655,5015 are the first ten multiples of 295.
You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 288 and 295, for example, are 3456, 4896, and 4720. 84960 is the least common multiple since it is the smallest.
288 and 295 have an LCM of 84960.
Least Common Multiple of 288 and 295 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 288 and 295, than apply into the LCM equation.
GCF(288,295) = 1
LCM(288,295) = ( 288 × 295) / 1
LCM(288,295) = 84960 / 1
LCM(288,295) = 84960
Related Least Common Multiples of 288
Related Least Common Multiples of 295
Frequently Asked Questions on LCM of 288 and 295
1. What is the LCM of 288 and 295?
The LCM of 288 and 295 is 84960.
2. How to find the lowest common multiple of 288 and 295?
To find the lowest common multiple of 288 and 295, we have to get the multip;es of both numbers and identify the least common multiple in them which is 84960.
3. What are the Factors of 288?
Answer: Factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288. There are 18 integers that are factors of 288. The greatest factor of 288 is 288.
4. What are the Factors of 295?
Answer: Factors of 295 are 1, 5, 59, 295. There are 4 integers that are factors of 295. The greatest factor of 295 is 295.
5. How to Find the LCM of 288 and 295?Answer:
Least Common Multiple of 288 and 295 = 84960
Step 1: Find the prime factorization of 288
288 = 2 x 2 x 2 x 2 x 2 x 3 x 3
Step 2: Find the prime factorization of 295
295 = 5 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84960 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 59
Step 4: Therefore, the least common multiple of 288 and 295 is 84960.