LCM of 423 and 429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 423 and 429 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 60489 as output. Here you can check the answer for Find the LCM of 423 and 429.
What is LCM of 423 and 429
Given Numbers are 423, 429
We can find the LCM of 423, 429 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 423 and 429
Multiples of 423 =423,846,1269,1692,2115,2538,2961,3384,3807,4230,4653,5076,5499,5922,6345,6768,7191,
Multiples of 429 =429,858,1287,1716,2145,2574,3003,3432,3861,4290,4719,5148,5577,6006,6435,6864,7293,
Now, get the least common multiple of 423, 429 which is 60489
So, the LCM of 423, 429 is 60489.
Least Common Multiple (LCM) of 423 and 429 with the help of Prime Factorisation
One method for determining the LCM of 423 and 429 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 423's prime factorization:
| 3 | 423 |
| 3 | 141 |
| 47 | 47 |
| 1 |
Prime factors of 423 are 3,47.
423 = 32×471
And this is 429's prime factorization:
| 3 | 429 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 429 are 3, 11,13.
429 = 31×111×131
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: 3,47, 11,13
.32×111×131×471 = 60489
This shows that the LCM of 423 and 429 is 60489.
How to Calculate the LCM of 423 and 429 Using Common Multiples
The first step in determining the Least Common Multiple of 423 and 429 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 423 and 429:
Lets look at the first ten multiples of these numbers, 423 and 429:
423,846,1269,1692,2115,2538,2961,3384,3807,7191 are the first ten multiples of 423.
429,858,1287,1716,2145,2574,3003,3432,3861,7293 are the first ten multiples of 429.
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 423 and 429, for example, are 5076, 7191, and 6864. 60489 is the least common multiple since it is the smallest.
423 and 429 have an LCM of 60489.
Least Common Multiple of 423 and 429 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 423 and 429, than apply into the LCM equation.
GCF(423,429) = 3
LCM(423,429) = ( 423 × 429) / 3
LCM(423,429) = 181467 / 3
LCM(423,429) = 60489
Related Least Common Multiples of 423
Related Least Common Multiples of 429
Frequently Asked Questions on LCM of 423 and 429
1. What is the LCM of 423 and 429?
The LCM of 423 and 429 is 60489.
2. How to find the lowest common multiple of 423 and 429?
To find the lowest common multiple of 423 and 429, we have to get the multip;es of both numbers and identify the least common multiple in them which is 60489.
3. 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.
4. What are the Factors of 429?
Answer: Factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429. There are 8 integers that are factors of 429. The greatest factor of 429 is 429.
5. How to Find the LCM of 423 and 429?Answer:
Least Common Multiple of 423 and 429 = 60489
Step 1: Find the prime factorization of 423
423 = 3 x 3 x 47
Step 2: Find the prime factorization of 429
429 = 3 x 11 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 = 60489 = 3 x 3 x 11 x 13 x 47
Step 4: Therefore, the least common multiple of 423 and 429 is 60489.