Given Numbers are 424, 429

We can find the LCM of 424, 429 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 424 and 429

Multiples of 424 =424,848,1272,1696,2120,2544,2968,3392,3816,4240,4664,5088,5512,5936,6360,6784,7208,

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 424, 429 which is 181896

So, the LCM of 424, 429 is 181896.

One method for determining the LCM of 424 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 424's prime factorization:

Prime factors of 424 are 2,53.

424 = 2³×53¹

And this is 429's prime factorization:

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: 2,53, 3, 11,13

2³×3¹×11¹×13¹×53¹ = 181896

This shows that the LCM of 424 and 429 is 181896.

The first step in determining the Least Common Multiple of 424 and 429 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 424 and 429:

Lets look at the first ten multiples of these numbers, 424 and 429:

424,848,1272,1696,2120,2544,2968,3392,3816,7208 are the first ten multiples of 424.

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 424 and 429, for example, are 5088, 7208, and 6864. 181896 is the least common multiple since it is the smallest.

424 and 429 have an LCM of 181896.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 424 and 429, than apply into the LCM equation.

GCF(424,429) = 1
LCM(424,429) = ( 424 × 429) / 1
LCM(424,429) = 181896 / 1
LCM(424,429) = 181896

1. What is the LCM of 424 and 429?

The LCM of 424 and 429 is 181896.

2. How to find the lowest common multiple of 424 and 429?

To find the lowest common multiple of 424 and 429, we have to get the multip;es of both numbers and identify the least common multiple in them which is 181896.

3. What are the Factors of 424?

Answer: Factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424. There are 8 integers that are factors of 424. The greatest factor of 424 is 424.

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.

Answer:

Least Common Multiple of 424 and 429 = 181896

Step 1: Find the prime factorization of 424

424 = 2 x 2 x 2 x 53

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 = 181896 = 2 x 2 x 2 x 3 x 11 x 13 x 53

Step 4: Therefore, the least common multiple of 424 and 429 is 181896.