Given Numbers are 356, 364

We can find the LCM of 356, 364 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 356 and 364

Multiples of 356 =356,712,1068,1424,1780,2136,2492,2848,3204,3560,3916,4272,4628,4984,5340,5696,6052,

Multiples of 364 =364,728,1092,1456,1820,2184,2548,2912,3276,3640,4004,4368,4732,5096,5460,5824,6188,

Now, get the least common multiple of 356, 364 which is 32396

So, the LCM of 356, 364 is 32396.

One method for determining the LCM of 356 and 364 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 356's prime factorization:

Prime factors of 356 are 2,89.

356 = 2²×89¹

And this is 364's prime factorization:

Prime factors of 364 are 2, 7,13.

364 = 2²×7¹×13¹

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: 2,89, 7,13

2²×7¹×13¹×89¹ = 32396

This shows that the LCM of 356 and 364 is 32396.

The first step in determining the Least Common Multiple of 356 and 364 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 356 and 364:

Lets look at the first ten multiples of these numbers, 356 and 364:

356,712,1068,1424,1780,2136,2492,2848,3204,6052 are the first ten multiples of 356.

364,728,1092,1456,1820,2184,2548,2912,3276,6188 are the first ten multiples of 364.

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 356 and 364, for example, are 4272, 6052, and 5824. 32396 is the least common multiple since it is the smallest.

356 and 364 have an LCM of 32396.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 356 and 364, than apply into the LCM equation.

GCF(356,364) = 4
LCM(356,364) = ( 356 × 364) / 4
LCM(356,364) = 129584 / 4
LCM(356,364) = 32396

1. What is the LCM of 356 and 364?

The LCM of 356 and 364 is 32396.

2. How to find the lowest common multiple of 356 and 364?

To find the lowest common multiple of 356 and 364, we have to get the multip;es of both numbers and identify the least common multiple in them which is 32396.

3. What are the Factors of 356?

Answer: Factors of 356 are 1, 2, 4, 89, 178, 356. There are 6 integers that are factors of 356. The greatest factor of 356 is 356.

4. What are the Factors of 364?

Answer: Factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364. There are 12 integers that are factors of 364. The greatest factor of 364 is 364.

Answer:

Least Common Multiple of 356 and 364 = 32396

Step 1: Find the prime factorization of 356

356 = 2 x 2 x 89

Step 2: Find the prime factorization of 364

364 = 2 x 2 x 7 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 = 32396 = 2 x 2 x 7 x 13 x 89

Step 4: Therefore, the least common multiple of 356 and 364 is 32396.