Given Numbers are 429, 434

We can find the LCM of 429, 434 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 429 and 434

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

Multiples of 434 =434,868,1302,1736,2170,2604,3038,3472,3906,4340,4774,5208,5642,6076,6510,6944,7378,

Now, get the least common multiple of 429, 434 which is 186186

So, the LCM of 429, 434 is 186186.

One method for determining the LCM of 429 and 434 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 434's prime factorization:

Prime factors of 434 are 2, 7,31.

434 = 2¹×7¹×31¹

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, 7,31

2¹×3¹×7¹×11¹×13¹×31¹ = 186186

This shows that the LCM of 429 and 434 is 186186.

The first step in determining the Least Common Multiple of 429 and 434 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 429 and 434:

Lets look at the first ten multiples of these numbers, 429 and 434:

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

434,868,1302,1736,2170,2604,3038,3472,3906,7378 are the first ten multiples of 434.

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 434, for example, are 5148, 7293, and 6944. 186186 is the least common multiple since it is the smallest.

429 and 434 have an LCM of 186186.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 429 and 434, than apply into the LCM equation.

GCF(429,434) = 1
LCM(429,434) = ( 429 × 434) / 1
LCM(429,434) = 186186 / 1
LCM(429,434) = 186186

1. What is the LCM of 429 and 434?

The LCM of 429 and 434 is 186186.

2. How to find the lowest common multiple of 429 and 434?

To find the lowest common multiple of 429 and 434, we have to get the multip;es of both numbers and identify the least common multiple in them which is 186186.

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 434?

Answer: Factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434. There are 8 integers that are factors of 434. The greatest factor of 434 is 434.

Answer:

Least Common Multiple of 429 and 434 = 186186

Step 1: Find the prime factorization of 429

429 = 3 x 11 x 13

Step 2: Find the prime factorization of 434

434 = 2 x 7 x 31

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

LCM = 186186 = 2 x 3 x 7 x 11 x 13 x 31

Step 4: Therefore, the least common multiple of 429 and 434 is 186186.