LCM of 280 and 285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 280 and 285 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 15960 as output. Here you can check the answer for Find the LCM of 280 and 285.
What is LCM of 280 and 285
Given Numbers are 280, 285
We can find the LCM of 280, 285 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 280 and 285
Multiples of 280 =280,560,840,1120,1400,1680,1960,2240,2520,2800,3080,3360,3640,3920,4200,4480,4760,
Multiples of 285 =285,570,855,1140,1425,1710,1995,2280,2565,2850,3135,3420,3705,3990,4275,4560,4845,
Now, get the least common multiple of 280, 285 which is 15960
So, the LCM of 280, 285 is 15960.
Least Common Multiple (LCM) of 280 and 285 with the help of Prime Factorisation
One method for determining the LCM of 280 and 285 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 285's prime factorization:
| 3 | 285 |
| 5 | 95 |
| 19 | 19 |
| 1 |
Prime factors of 285 are 3, 5,19.
285 = 31×51×191
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, 3,19
.23×31×51×71×191 = 15960
This shows that the LCM of 280 and 285 is 15960.
How to Calculate the LCM of 280 and 285 Using Common Multiples
The first step in determining the Least Common Multiple of 280 and 285 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 280 and 285:
Lets look at the first ten multiples of these numbers, 280 and 285:
280,560,840,1120,1400,1680,1960,2240,2520,4760 are the first ten multiples of 280.
285,570,855,1140,1425,1710,1995,2280,2565,4845 are the first ten multiples of 285.
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 285, for example, are 3360, 4760, and 4560. 15960 is the least common multiple since it is the smallest.
280 and 285 have an LCM of 15960.
Least Common Multiple of 280 and 285 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 285, than apply into the LCM equation.
GCF(280,285) = 5
LCM(280,285) = ( 280 × 285) / 5
LCM(280,285) = 79800 / 5
LCM(280,285) = 15960
Related Least Common Multiples of 280
Related Least Common Multiples of 285
Frequently Asked Questions on LCM of 280 and 285
1. What is the LCM of 280 and 285?
The LCM of 280 and 285 is 15960.
2. How to find the lowest common multiple of 280 and 285?
To find the lowest common multiple of 280 and 285, we have to get the multip;es of both numbers and identify the least common multiple in them which is 15960.
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 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.
5. How to Find the LCM of 280 and 285?Answer:
Least Common Multiple of 280 and 285 = 15960
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 285
285 = 3 x 5 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15960 = 2 x 2 x 2 x 3 x 5 x 7 x 19
Step 4: Therefore, the least common multiple of 280 and 285 is 15960.