LCM of 455 and 463
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 455 and 463 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 210665 as output. Here you can check the answer for Find the LCM of 455 and 463.
What is LCM of 455 and 463
Given Numbers are 455, 463
We can find the LCM of 455, 463 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 455 and 463
Multiples of 455 =455,910,1365,1820,2275,2730,3185,3640,4095,4550,5005,5460,5915,6370,6825,7280,7735,
Multiples of 463 =463,926,1389,1852,2315,2778,3241,3704,4167,4630,5093,5556,6019,6482,6945,7408,7871,
Now, get the least common multiple of 455, 463 which is 210665
So, the LCM of 455, 463 is 210665.
Least Common Multiple (LCM) of 455 and 463 with the help of Prime Factorisation
One method for determining the LCM of 455 and 463 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 455's prime factorization:
| 5 | 455 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 455 are 5, 7,13.
455 = 51×71×131
And this is 463's prime factorization:
| 463 | 463 |
| 1 |
Prime factors of 463 are 463.
463 = 4631
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, 7,13,463
.51×71×131×4631 = 210665
This shows that the LCM of 455 and 463 is 210665.
How to Calculate the LCM of 455 and 463 Using Common Multiples
The first step in determining the Least Common Multiple of 455 and 463 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 455 and 463:
Lets look at the first ten multiples of these numbers, 455 and 463:
455,910,1365,1820,2275,2730,3185,3640,4095,7735 are the first ten multiples of 455.
463,926,1389,1852,2315,2778,3241,3704,4167,7871 are the first ten multiples of 463.
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 455 and 463, for example, are 5460, 7735, and 7408. 210665 is the least common multiple since it is the smallest.
455 and 463 have an LCM of 210665.
Least Common Multiple of 455 and 463 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 455 and 463, than apply into the LCM equation.
GCF(455,463) = 1
LCM(455,463) = ( 455 × 463) / 1
LCM(455,463) = 210665 / 1
LCM(455,463) = 210665
Related Least Common Multiples of 455
Related Least Common Multiples of 463
Frequently Asked Questions on LCM of 455 and 463
1. What is the LCM of 455 and 463?
The LCM of 455 and 463 is 210665.
2. How to find the lowest common multiple of 455 and 463?
To find the lowest common multiple of 455 and 463, we have to get the multip;es of both numbers and identify the least common multiple in them which is 210665.
3. What are the Factors of 455?
Answer: Factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455. There are 8 integers that are factors of 455. The greatest factor of 455 is 455.
4. What are the Factors of 463?
Answer: Factors of 463 are 1, 463. There are 2 integers that are factors of 463. The greatest factor of 463 is 463.
5. How to Find the LCM of 455 and 463?Answer:
Least Common Multiple of 455 and 463 = 210665
Step 1: Find the prime factorization of 455
455 = 5 x 7 x 13
Step 2: Find the prime factorization of 463
463 = 463
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 210665 = 5 x 7 x 13 x 463
Step 4: Therefore, the least common multiple of 455 and 463 is 210665.