LCM of 275 and 280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 275 and 280 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 15400 as output. Here you can check the answer for Find the LCM of 275 and 280.
What is LCM of 275 and 280
Given Numbers are 275, 280
We can find the LCM of 275, 280 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 275 and 280
Multiples of 275 =275,550,825,1100,1375,1650,1925,2200,2475,2750,3025,3300,3575,3850,4125,4400,4675,
Multiples of 280 =280,560,840,1120,1400,1680,1960,2240,2520,2800,3080,3360,3640,3920,4200,4480,4760,
Now, get the least common multiple of 275, 280 which is 15400
So, the LCM of 275, 280 is 15400.
Least Common Multiple (LCM) of 275 and 280 with the help of Prime Factorisation
One method for determining the LCM of 275 and 280 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 275's prime factorization:
| 5 | 275 |
| 5 | 55 |
| 11 | 11 |
| 1 |
Prime factors of 275 are 5,11.
275 = 52×111
And this 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
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: 5,11, 2,7
.23×52×71×111 = 15400
This shows that the LCM of 275 and 280 is 15400.
How to Calculate the LCM of 275 and 280 Using Common Multiples
The first step in determining the Least Common Multiple of 275 and 280 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 275 and 280:
Lets look at the first ten multiples of these numbers, 275 and 280:
275,550,825,1100,1375,1650,1925,2200,2475,4675 are the first ten multiples of 275.
280,560,840,1120,1400,1680,1960,2240,2520,4760 are the first ten multiples of 280.
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 275 and 280, for example, are 3300, 4675, and 4480. 15400 is the least common multiple since it is the smallest.
275 and 280 have an LCM of 15400.
Least Common Multiple of 275 and 280 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 275 and 280, than apply into the LCM equation.
GCF(275,280) = 5
LCM(275,280) = ( 275 × 280) / 5
LCM(275,280) = 77000 / 5
LCM(275,280) = 15400
Related Least Common Multiples of 275
Related Least Common Multiples of 280
Frequently Asked Questions on LCM of 275 and 280
1. What is the LCM of 275 and 280?
The LCM of 275 and 280 is 15400.
2. How to find the lowest common multiple of 275 and 280?
To find the lowest common multiple of 275 and 280, we have to get the multip;es of both numbers and identify the least common multiple in them which is 15400.
3. What are the Factors of 275?
Answer: Factors of 275 are 1, 5, 11, 25, 55, 275. There are 6 integers that are factors of 275. The greatest factor of 275 is 275.
4. 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.
5. How to Find the LCM of 275 and 280?Answer:
Least Common Multiple of 275 and 280 = 15400
Step 1: Find the prime factorization of 275
275 = 5 x 5 x 11
Step 2: Find the prime factorization of 280
280 = 2 x 2 x 2 x 5 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15400 = 2 x 2 x 2 x 5 x 5 x 7 x 11
Step 4: Therefore, the least common multiple of 275 and 280 is 15400.