LCM of 465 and 471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 465 and 471 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 73005 as output. Here you can check the answer for Find the LCM of 465 and 471.
What is LCM of 465 and 471
Given Numbers are 465, 471
We can find the LCM of 465, 471 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 465 and 471
Multiples of 465 =465,930,1395,1860,2325,2790,3255,3720,4185,4650,5115,5580,6045,6510,6975,7440,7905,
Multiples of 471 =471,942,1413,1884,2355,2826,3297,3768,4239,4710,5181,5652,6123,6594,7065,7536,8007,
Now, get the least common multiple of 465, 471 which is 73005
So, the LCM of 465, 471 is 73005.
Least Common Multiple (LCM) of 465 and 471 with the help of Prime Factorisation
One method for determining the LCM of 465 and 471 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 465's prime factorization:
| 3 | 465 |
| 5 | 155 |
| 31 | 31 |
| 1 |
Prime factors of 465 are 3, 5,31.
465 = 31×51×311
And this is 471's prime factorization:
| 3 | 471 |
| 157 | 157 |
| 1 |
Prime factors of 471 are 3,157.
471 = 31×1571
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: 3, 5,31,157
.31×51×311×1571 = 73005
This shows that the LCM of 465 and 471 is 73005.
How to Calculate the LCM of 465 and 471 Using Common Multiples
The first step in determining the Least Common Multiple of 465 and 471 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 465 and 471:
Lets look at the first ten multiples of these numbers, 465 and 471:
465,930,1395,1860,2325,2790,3255,3720,4185,7905 are the first ten multiples of 465.
471,942,1413,1884,2355,2826,3297,3768,4239,8007 are the first ten multiples of 471.
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 465 and 471, for example, are 5580, 7905, and 7536. 73005 is the least common multiple since it is the smallest.
465 and 471 have an LCM of 73005.
Least Common Multiple of 465 and 471 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 465 and 471, than apply into the LCM equation.
GCF(465,471) = 3
LCM(465,471) = ( 465 × 471) / 3
LCM(465,471) = 219015 / 3
LCM(465,471) = 73005
Related Least Common Multiples of 465
Related Least Common Multiples of 471
Frequently Asked Questions on LCM of 465 and 471
1. What is the LCM of 465 and 471?
The LCM of 465 and 471 is 73005.
2. How to find the lowest common multiple of 465 and 471?
To find the lowest common multiple of 465 and 471, we have to get the multip;es of both numbers and identify the least common multiple in them which is 73005.
3. What are the Factors of 465?
Answer: Factors of 465 are 1, 3, 5, 15, 31, 93, 155, 465. There are 8 integers that are factors of 465. The greatest factor of 465 is 465.
4. What are the Factors of 471?
Answer: Factors of 471 are 1, 3, 157, 471. There are 4 integers that are factors of 471. The greatest factor of 471 is 471.
5. How to Find the LCM of 465 and 471?Answer:
Least Common Multiple of 465 and 471 = 73005
Step 1: Find the prime factorization of 465
465 = 3 x 5 x 31
Step 2: Find the prime factorization of 471
471 = 3 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 73005 = 3 x 5 x 31 x 157
Step 4: Therefore, the least common multiple of 465 and 471 is 73005.