LCM of 415 and 423
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 415 and 423 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 175545 as output. Here you can check the answer for Find the LCM of 415 and 423.
What is LCM of 415 and 423
Given Numbers are 415, 423
We can find the LCM of 415, 423 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 415 and 423
Multiples of 415 =415,830,1245,1660,2075,2490,2905,3320,3735,4150,4565,4980,5395,5810,6225,6640,7055,
Multiples of 423 =423,846,1269,1692,2115,2538,2961,3384,3807,4230,4653,5076,5499,5922,6345,6768,7191,
Now, get the least common multiple of 415, 423 which is 175545
So, the LCM of 415, 423 is 175545.
Least Common Multiple (LCM) of 415 and 423 with the help of Prime Factorisation
One method for determining the LCM of 415 and 423 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 415's prime factorization:
| 5 | 415 |
| 83 | 83 |
| 1 |
Prime factors of 415 are 5,83.
415 = 51×831
And this is 423's prime factorization:
| 3 | 423 |
| 3 | 141 |
| 47 | 47 |
| 1 |
Prime factors of 423 are 3,47.
423 = 32×471
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: 5,83, 3,47
.32×51×471×831 = 175545
This shows that the LCM of 415 and 423 is 175545.
How to Calculate the LCM of 415 and 423 Using Common Multiples
The first step in determining the Least Common Multiple of 415 and 423 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 415 and 423:
Lets look at the first ten multiples of these numbers, 415 and 423:
415,830,1245,1660,2075,2490,2905,3320,3735,7055 are the first ten multiples of 415.
423,846,1269,1692,2115,2538,2961,3384,3807,7191 are the first ten multiples of 423.
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 415 and 423, for example, are 4980, 7055, and 6768. 175545 is the least common multiple since it is the smallest.
415 and 423 have an LCM of 175545.
Least Common Multiple of 415 and 423 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 415 and 423, than apply into the LCM equation.
GCF(415,423) = 1
LCM(415,423) = ( 415 × 423) / 1
LCM(415,423) = 175545 / 1
LCM(415,423) = 175545
Related Least Common Multiples of 415
Related Least Common Multiples of 423
Frequently Asked Questions on LCM of 415 and 423
1. What is the LCM of 415 and 423?
The LCM of 415 and 423 is 175545.
2. How to find the lowest common multiple of 415 and 423?
To find the lowest common multiple of 415 and 423, we have to get the multip;es of both numbers and identify the least common multiple in them which is 175545.
3. What are the Factors of 415?
Answer: Factors of 415 are 1, 5, 83, 415. There are 4 integers that are factors of 415. The greatest factor of 415 is 415.
4. What are the Factors of 423?
Answer: Factors of 423 are 1, 3, 9, 47, 141, 423. There are 6 integers that are factors of 423. The greatest factor of 423 is 423.
5. How to Find the LCM of 415 and 423?Answer:
Least Common Multiple of 415 and 423 = 175545
Step 1: Find the prime factorization of 415
415 = 5 x 83
Step 2: Find the prime factorization of 423
423 = 3 x 3 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 175545 = 3 x 3 x 5 x 47 x 83
Step 4: Therefore, the least common multiple of 415 and 423 is 175545.