LCM of 285 and 293
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 285 and 293 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 83505 as output. Here you can check the answer for Find the LCM of 285 and 293.
What is LCM of 285 and 293
Given Numbers are 285, 293
We can find the LCM of 285, 293 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 285 and 293
Multiples of 285 =285,570,855,1140,1425,1710,1995,2280,2565,2850,3135,3420,3705,3990,4275,4560,4845,
Multiples of 293 =293,586,879,1172,1465,1758,2051,2344,2637,2930,3223,3516,3809,4102,4395,4688,4981,
Now, get the least common multiple of 285, 293 which is 83505
So, the LCM of 285, 293 is 83505.
Least Common Multiple (LCM) of 285 and 293 with the help of Prime Factorisation
One method for determining the LCM of 285 and 293 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 285's prime factorization:
| 3 | 285 |
| 5 | 95 |
| 19 | 19 |
| 1 |
Prime factors of 285 are 3, 5,19.
285 = 31×51×191
And this is 293's prime factorization:
| 293 | 293 |
| 1 |
Prime factors of 293 are 293.
293 = 2931
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: 3, 5,19,293
.31×51×191×2931 = 83505
This shows that the LCM of 285 and 293 is 83505.
How to Calculate the LCM of 285 and 293 Using Common Multiples
The first step in determining the Least Common Multiple of 285 and 293 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 285 and 293:
Lets look at the first ten multiples of these numbers, 285 and 293:
285,570,855,1140,1425,1710,1995,2280,2565,4845 are the first ten multiples of 285.
293,586,879,1172,1465,1758,2051,2344,2637,4981 are the first ten multiples of 293.
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 285 and 293, for example, are 3420, 4845, and 4688. 83505 is the least common multiple since it is the smallest.
285 and 293 have an LCM of 83505.
Least Common Multiple of 285 and 293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 285 and 293, than apply into the LCM equation.
GCF(285,293) = 1
LCM(285,293) = ( 285 × 293) / 1
LCM(285,293) = 83505 / 1
LCM(285,293) = 83505
Related Least Common Multiples of 285
Related Least Common Multiples of 293
Frequently Asked Questions on LCM of 285 and 293
1. What is the LCM of 285 and 293?
The LCM of 285 and 293 is 83505.
2. How to find the lowest common multiple of 285 and 293?
To find the lowest common multiple of 285 and 293, we have to get the multip;es of both numbers and identify the least common multiple in them which is 83505.
3. What are the Factors of 285?
Answer: Factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285. There are 8 integers that are factors of 285. The greatest factor of 285 is 285.
4. What are the Factors of 293?
Answer: Factors of 293 are 1, 293. There are 2 integers that are factors of 293. The greatest factor of 293 is 293.
5. How to Find the LCM of 285 and 293?Answer:
Least Common Multiple of 285 and 293 = 83505
Step 1: Find the prime factorization of 285
285 = 3 x 5 x 19
Step 2: Find the prime factorization of 293
293 = 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83505 = 3 x 5 x 19 x 293
Step 4: Therefore, the least common multiple of 285 and 293 is 83505.