LCM of 429 and 435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 429 and 435 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 62205 as output. Here you can check the answer for Find the LCM of 429 and 435.
What is LCM of 429 and 435
Given Numbers are 429, 435
We can find the LCM of 429, 435 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 429 and 435
Multiples of 429 =429,858,1287,1716,2145,2574,3003,3432,3861,4290,4719,5148,5577,6006,6435,6864,7293,
Multiples of 435 =435,870,1305,1740,2175,2610,3045,3480,3915,4350,4785,5220,5655,6090,6525,6960,7395,
Now, get the least common multiple of 429, 435 which is 62205
So, the LCM of 429, 435 is 62205.
Least Common Multiple (LCM) of 429 and 435 with the help of Prime Factorisation
One method for determining the LCM of 429 and 435 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 429's prime factorization:
| 3 | 429 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 429 are 3, 11,13.
429 = 31×111×131
And this is 435's prime factorization:
| 3 | 435 |
| 5 | 145 |
| 29 | 29 |
| 1 |
Prime factors of 435 are 3, 5,29.
435 = 31×51×291
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, 11,13, 5,29
.31×51×111×131×291 = 62205
This shows that the LCM of 429 and 435 is 62205.
How to Calculate the LCM of 429 and 435 Using Common Multiples
The first step in determining the Least Common Multiple of 429 and 435 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 429 and 435:
Lets look at the first ten multiples of these numbers, 429 and 435:
429,858,1287,1716,2145,2574,3003,3432,3861,7293 are the first ten multiples of 429.
435,870,1305,1740,2175,2610,3045,3480,3915,7395 are the first ten multiples of 435.
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 429 and 435, for example, are 5148, 7293, and 6960. 62205 is the least common multiple since it is the smallest.
429 and 435 have an LCM of 62205.
Least Common Multiple of 429 and 435 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 429 and 435, than apply into the LCM equation.
GCF(429,435) = 3
LCM(429,435) = ( 429 × 435) / 3
LCM(429,435) = 186615 / 3
LCM(429,435) = 62205
Related Least Common Multiples of 429
Related Least Common Multiples of 435
Frequently Asked Questions on LCM of 429 and 435
1. What is the LCM of 429 and 435?
The LCM of 429 and 435 is 62205.
2. How to find the lowest common multiple of 429 and 435?
To find the lowest common multiple of 429 and 435, we have to get the multip;es of both numbers and identify the least common multiple in them which is 62205.
3. 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.
4. What are the Factors of 435?
Answer: Factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435. There are 8 integers that are factors of 435. The greatest factor of 435 is 435.
5. How to Find the LCM of 429 and 435?Answer:
Least Common Multiple of 429 and 435 = 62205
Step 1: Find the prime factorization of 429
429 = 3 x 11 x 13
Step 2: Find the prime factorization of 435
435 = 3 x 5 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62205 = 3 x 5 x 11 x 13 x 29
Step 4: Therefore, the least common multiple of 429 and 435 is 62205.