Given Numbers are 428, 434

We can find the LCM of 428, 434 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 428 and 434

Multiples of 428 =428,856,1284,1712,2140,2568,2996,3424,3852,4280,4708,5136,5564,5992,6420,6848,7276,

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 428, 434 which is 92876

So, the LCM of 428, 434 is 92876.

One method for determining the LCM of 428 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 428's prime factorization:

Prime factors of 428 are 2,107.

428 = 2²×107¹

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: 2,107, 7,31

2²×7¹×31¹×107¹ = 92876

This shows that the LCM of 428 and 434 is 92876.

The first step in determining the Least Common Multiple of 428 and 434 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 428 and 434:

Lets look at the first ten multiples of these numbers, 428 and 434:

428,856,1284,1712,2140,2568,2996,3424,3852,7276 are the first ten multiples of 428.

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 428 and 434, for example, are 5136, 7276, and 6944. 92876 is the least common multiple since it is the smallest.

428 and 434 have an LCM of 92876.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 428 and 434, than apply into the LCM equation.

GCF(428,434) = 2
LCM(428,434) = ( 428 × 434) / 2
LCM(428,434) = 185752 / 2
LCM(428,434) = 92876

1. What is the LCM of 428 and 434?

The LCM of 428 and 434 is 92876.

2. How to find the lowest common multiple of 428 and 434?

To find the lowest common multiple of 428 and 434, we have to get the multip;es of both numbers and identify the least common multiple in them which is 92876.

3. What are the Factors of 428?

Answer: Factors of 428 are 1, 2, 4, 107, 214, 428. There are 6 integers that are factors of 428. The greatest factor of 428 is 428.

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 428 and 434 = 92876

Step 1: Find the prime factorization of 428

428 = 2 x 2 x 107

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 = 92876 = 2 x 2 x 7 x 31 x 107

Step 4: Therefore, the least common multiple of 428 and 434 is 92876.