LCM of 397 and 405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 397 and 405 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 160785 as output. Here you can check the answer for Find the LCM of 397 and 405.
What is LCM of 397 and 405
Given Numbers are 397, 405
We can find the LCM of 397, 405 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 397 and 405
Multiples of 397 =397,794,1191,1588,1985,2382,2779,3176,3573,3970,4367,4764,5161,5558,5955,6352,6749,
Multiples of 405 =405,810,1215,1620,2025,2430,2835,3240,3645,4050,4455,4860,5265,5670,6075,6480,6885,
Now, get the least common multiple of 397, 405 which is 160785
So, the LCM of 397, 405 is 160785.
Least Common Multiple (LCM) of 397 and 405 with the help of Prime Factorisation
One method for determining the LCM of 397 and 405 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 397's prime factorization:
| 397 | 397 |
| 1 |
Prime factors of 397 are 397.
397 = 3971
And this is 405's prime factorization:
| 3 | 405 |
| 3 | 135 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
Prime factors of 405 are 3,5.
405 = 34×51
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:397, 3,5
.34×51×3971 = 160785
This shows that the LCM of 397 and 405 is 160785.
How to Calculate the LCM of 397 and 405 Using Common Multiples
The first step in determining the Least Common Multiple of 397 and 405 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 397 and 405:
Lets look at the first ten multiples of these numbers, 397 and 405:
397,794,1191,1588,1985,2382,2779,3176,3573,6749 are the first ten multiples of 397.
405,810,1215,1620,2025,2430,2835,3240,3645,6885 are the first ten multiples of 405.
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 397 and 405, for example, are 4764, 6749, and 6480. 160785 is the least common multiple since it is the smallest.
397 and 405 have an LCM of 160785.
Least Common Multiple of 397 and 405 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 397 and 405, than apply into the LCM equation.
GCF(397,405) = 1
LCM(397,405) = ( 397 × 405) / 1
LCM(397,405) = 160785 / 1
LCM(397,405) = 160785
Related Least Common Multiples of 397
Related Least Common Multiples of 405
Frequently Asked Questions on LCM of 397 and 405
1. What is the LCM of 397 and 405?
The LCM of 397 and 405 is 160785.
2. How to find the lowest common multiple of 397 and 405?
To find the lowest common multiple of 397 and 405, we have to get the multip;es of both numbers and identify the least common multiple in them which is 160785.
3. What are the Factors of 397?
Answer: Factors of 397 are 1, 397. There are 2 integers that are factors of 397. The greatest factor of 397 is 397.
4. What are the Factors of 405?
Answer: Factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405. There are 10 integers that are factors of 405. The greatest factor of 405 is 405.
5. How to Find the LCM of 397 and 405?Answer:
Least Common Multiple of 397 and 405 = 160785
Step 1: Find the prime factorization of 397
397 = 397
Step 2: Find the prime factorization of 405
405 = 3 x 3 x 3 x 3 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 160785 = 3 x 3 x 3 x 3 x 5 x 397
Step 4: Therefore, the least common multiple of 397 and 405 is 160785.