LCM of 280 and 287
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 280 and 287 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 11480 as output. Here you can check the answer for Find the LCM of 280 and 287.
What is LCM of 280 and 287
Given Numbers are 280, 287
We can find the LCM of 280, 287 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 280 and 287
Multiples of 280 =280,560,840,1120,1400,1680,1960,2240,2520,2800,3080,3360,3640,3920,4200,4480,4760,
Multiples of 287 =287,574,861,1148,1435,1722,2009,2296,2583,2870,3157,3444,3731,4018,4305,4592,4879,
Now, get the least common multiple of 280, 287 which is 11480
So, the LCM of 280, 287 is 11480.
Least Common Multiple (LCM) of 280 and 287 with the help of Prime Factorisation
One method for determining the LCM of 280 and 287 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 280's prime factorization:
| 2 | 280 |
| 2 | 140 |
| 2 | 70 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 280 are 2, 5,7.
280 = 23×51×71
And this is 287's prime factorization:
| 7 | 287 |
| 41 | 41 |
| 1 |
Prime factors of 287 are 7,41.
287 = 71×411
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, 5,7,41
.23×51×71×411 = 11480
This shows that the LCM of 280 and 287 is 11480.
How to Calculate the LCM of 280 and 287 Using Common Multiples
The first step in determining the Least Common Multiple of 280 and 287 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 280 and 287:
Lets look at the first ten multiples of these numbers, 280 and 287:
280,560,840,1120,1400,1680,1960,2240,2520,4760 are the first ten multiples of 280.
287,574,861,1148,1435,1722,2009,2296,2583,4879 are the first ten multiples of 287.
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 280 and 287, for example, are 3360, 4760, and 4592. 11480 is the least common multiple since it is the smallest.
280 and 287 have an LCM of 11480.
Least Common Multiple of 280 and 287 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 280 and 287, than apply into the LCM equation.
GCF(280,287) = 7
LCM(280,287) = ( 280 × 287) / 7
LCM(280,287) = 80360 / 7
LCM(280,287) = 11480
Related Least Common Multiples of 280
Related Least Common Multiples of 287
Frequently Asked Questions on LCM of 280 and 287
1. What is the LCM of 280 and 287?
The LCM of 280 and 287 is 11480.
2. How to find the lowest common multiple of 280 and 287?
To find the lowest common multiple of 280 and 287, we have to get the multip;es of both numbers and identify the least common multiple in them which is 11480.
3. What are the Factors of 280?
Answer: Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. There are 16 integers that are factors of 280. The greatest factor of 280 is 280.
4. What are the Factors of 287?
Answer: Factors of 287 are 1, 7, 41, 287. There are 4 integers that are factors of 287. The greatest factor of 287 is 287.
5. How to Find the LCM of 280 and 287?Answer:
Least Common Multiple of 280 and 287 = 11480
Step 1: Find the prime factorization of 280
280 = 2 x 2 x 2 x 5 x 7
Step 2: Find the prime factorization of 287
287 = 7 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11480 = 2 x 2 x 2 x 5 x 7 x 41
Step 4: Therefore, the least common multiple of 280 and 287 is 11480.