LCM of 275 and 283
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 275 and 283 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 77825 as output. Here you can check the answer for Find the LCM of 275 and 283.
What is LCM of 275 and 283
Given Numbers are 275, 283
We can find the LCM of 275, 283 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 275 and 283
Multiples of 275 =275,550,825,1100,1375,1650,1925,2200,2475,2750,3025,3300,3575,3850,4125,4400,4675,
Multiples of 283 =283,566,849,1132,1415,1698,1981,2264,2547,2830,3113,3396,3679,3962,4245,4528,4811,
Now, get the least common multiple of 275, 283 which is 77825
So, the LCM of 275, 283 is 77825.
Least Common Multiple (LCM) of 275 and 283 with the help of Prime Factorisation
One method for determining the LCM of 275 and 283 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 283's prime factorization:
| 283 | 283 |
| 1 |
Prime factors of 283 are 283.
283 = 2831
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: 5,11,283
.52×111×2831 = 77825
This shows that the LCM of 275 and 283 is 77825.
How to Calculate the LCM of 275 and 283 Using Common Multiples
The first step in determining the Least Common Multiple of 275 and 283 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 275 and 283:
Lets look at the first ten multiples of these numbers, 275 and 283:
275,550,825,1100,1375,1650,1925,2200,2475,4675 are the first ten multiples of 275.
283,566,849,1132,1415,1698,1981,2264,2547,4811 are the first ten multiples of 283.
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 283, for example, are 3300, 4675, and 4528. 77825 is the least common multiple since it is the smallest.
275 and 283 have an LCM of 77825.
Least Common Multiple of 275 and 283 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 283, than apply into the LCM equation.
GCF(275,283) = 1
LCM(275,283) = ( 275 × 283) / 1
LCM(275,283) = 77825 / 1
LCM(275,283) = 77825
Related Least Common Multiples of 275
Related Least Common Multiples of 283
Frequently Asked Questions on LCM of 275 and 283
1. What is the LCM of 275 and 283?
The LCM of 275 and 283 is 77825.
2. How to find the lowest common multiple of 275 and 283?
To find the lowest common multiple of 275 and 283, we have to get the multip;es of both numbers and identify the least common multiple in them which is 77825.
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 283?
Answer: Factors of 283 are 1, 283. There are 2 integers that are factors of 283. The greatest factor of 283 is 283.
5. How to Find the LCM of 275 and 283?Answer:
Least Common Multiple of 275 and 283 = 77825
Step 1: Find the prime factorization of 275
275 = 5 x 5 x 11
Step 2: Find the prime factorization of 283
283 = 283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77825 = 5 x 5 x 11 x 283
Step 4: Therefore, the least common multiple of 275 and 283 is 77825.