Given Numbers are 429, 437

We can find the LCM of 429, 437 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 429 and 437

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

Multiples of 437 =437,874,1311,1748,2185,2622,3059,3496,3933,4370,4807,5244,5681,6118,6555,6992,7429,

Now, get the least common multiple of 429, 437 which is 187473

So, the LCM of 429, 437 is 187473.

One method for determining the LCM of 429 and 437 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 437's prime factorization:

Prime factors of 437 are 19,23.

437 = 19¹×23¹

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, 19,23

3¹×11¹×13¹×19¹×23¹ = 187473

This shows that the LCM of 429 and 437 is 187473.

The first step in determining the Least Common Multiple of 429 and 437 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 429 and 437:

Lets look at the first ten multiples of these numbers, 429 and 437:

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

437,874,1311,1748,2185,2622,3059,3496,3933,7429 are the first ten multiples of 437.

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 437, for example, are 5148, 7293, and 6992. 187473 is the least common multiple since it is the smallest.

429 and 437 have an LCM of 187473.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 429 and 437, than apply into the LCM equation.

GCF(429,437) = 1
LCM(429,437) = ( 429 × 437) / 1
LCM(429,437) = 187473 / 1
LCM(429,437) = 187473

1. What is the LCM of 429 and 437?

The LCM of 429 and 437 is 187473.

2. How to find the lowest common multiple of 429 and 437?

To find the lowest common multiple of 429 and 437, we have to get the multip;es of both numbers and identify the least common multiple in them which is 187473.

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 437?

Answer: Factors of 437 are 1, 19, 23, 437. There are 4 integers that are factors of 437. The greatest factor of 437 is 437.

Answer:

Least Common Multiple of 429 and 437 = 187473

Step 1: Find the prime factorization of 429

429 = 3 x 11 x 13

Step 2: Find the prime factorization of 437

437 = 19 x 23

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

LCM = 187473 = 3 x 11 x 13 x 19 x 23

Step 4: Therefore, the least common multiple of 429 and 437 is 187473.