LCM of 449 and 455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 449 and 455 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 204295 as output. Here you can check the answer for Find the LCM of 449 and 455.
What is LCM of 449 and 455
Given Numbers are 449, 455
We can find the LCM of 449, 455 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 449 and 455
Multiples of 449 =449,898,1347,1796,2245,2694,3143,3592,4041,4490,4939,5388,5837,6286,6735,7184,7633,
Multiples of 455 =455,910,1365,1820,2275,2730,3185,3640,4095,4550,5005,5460,5915,6370,6825,7280,7735,
Now, get the least common multiple of 449, 455 which is 204295
So, the LCM of 449, 455 is 204295.
Least Common Multiple (LCM) of 449 and 455 with the help of Prime Factorisation
One method for determining the LCM of 449 and 455 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 449's prime factorization:
| 449 | 449 |
| 1 |
Prime factors of 449 are 449.
449 = 4491
And this is 455's prime factorization:
| 5 | 455 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 455 are 5, 7,13.
455 = 51×71×131
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:449, 5, 7,13
.51×71×131×4491 = 204295
This shows that the LCM of 449 and 455 is 204295.
How to Calculate the LCM of 449 and 455 Using Common Multiples
The first step in determining the Least Common Multiple of 449 and 455 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 449 and 455:
Lets look at the first ten multiples of these numbers, 449 and 455:
449,898,1347,1796,2245,2694,3143,3592,4041,7633 are the first ten multiples of 449.
455,910,1365,1820,2275,2730,3185,3640,4095,7735 are the first ten multiples of 455.
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 449 and 455, for example, are 5388, 7633, and 7280. 204295 is the least common multiple since it is the smallest.
449 and 455 have an LCM of 204295.
Least Common Multiple of 449 and 455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 449 and 455, than apply into the LCM equation.
GCF(449,455) = 1
LCM(449,455) = ( 449 × 455) / 1
LCM(449,455) = 204295 / 1
LCM(449,455) = 204295
Related Least Common Multiples of 449
Related Least Common Multiples of 455
Frequently Asked Questions on LCM of 449 and 455
1. What is the LCM of 449 and 455?
The LCM of 449 and 455 is 204295.
2. How to find the lowest common multiple of 449 and 455?
To find the lowest common multiple of 449 and 455, we have to get the multip;es of both numbers and identify the least common multiple in them which is 204295.
3. What are the Factors of 449?
Answer: Factors of 449 are 1, 449. There are 2 integers that are factors of 449. The greatest factor of 449 is 449.
4. 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.
5. How to Find the LCM of 449 and 455?Answer:
Least Common Multiple of 449 and 455 = 204295
Step 1: Find the prime factorization of 449
449 = 449
Step 2: Find the prime factorization of 455
455 = 5 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 204295 = 5 x 7 x 13 x 449
Step 4: Therefore, the least common multiple of 449 and 455 is 204295.