Given Numbers are 429, 436

We can find the LCM of 429, 436 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 429 and 436

Multiples of 429 =429,858,1287,1716,2145,2574,3003,3432,3861,4290,4719,5148,5577,6006,6435,6864,7293,

Multiples of 436 =436,872,1308,1744,2180,2616,3052,3488,3924,4360,4796,5232,5668,6104,6540,6976,7412,

Now, get the least common multiple of 429, 436 which is 187044

So, the LCM of 429, 436 is 187044.

One method for determining the LCM of 429 and 436 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:

Prime factors of 429 are 3, 11,13.

429 = 3¹×11¹×13¹

And this is 436's prime factorization:

Prime factors of 436 are 2,109.

436 = 2²×109¹

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, 2,109

2²×3¹×11¹×13¹×109¹ = 187044

This shows that the LCM of 429 and 436 is 187044.

The first step in determining the Least Common Multiple of 429 and 436 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 429 and 436:

Lets look at the first ten multiples of these numbers, 429 and 436:

429,858,1287,1716,2145,2574,3003,3432,3861,7293 are the first ten multiples of 429.

436,872,1308,1744,2180,2616,3052,3488,3924,7412 are the first ten multiples of 436.

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 436, for example, are 5148, 7293, and 6976. 187044 is the least common multiple since it is the smallest.

429 and 436 have an LCM of 187044.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 429 and 436, than apply into the LCM equation.

GCF(429,436) = 1
LCM(429,436) = ( 429 × 436) / 1
LCM(429,436) = 187044 / 1
LCM(429,436) = 187044

1. What is the LCM of 429 and 436?

The LCM of 429 and 436 is 187044.

2. How to find the lowest common multiple of 429 and 436?

To find the lowest common multiple of 429 and 436, we have to get the multip;es of both numbers and identify the least common multiple in them which is 187044.

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 436?

Answer: Factors of 436 are 1, 2, 4, 109, 218, 436. There are 6 integers that are factors of 436. The greatest factor of 436 is 436.

Answer:

Least Common Multiple of 429 and 436 = 187044

Step 1: Find the prime factorization of 429

429 = 3 x 11 x 13

Step 2: Find the prime factorization of 436

436 = 2 x 2 x 109

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 187044 = 2 x 2 x 3 x 11 x 13 x 109

Step 4: Therefore, the least common multiple of 429 and 436 is 187044.