Given numbers are 364,283,586,342

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 364,283,586,342 is 5161210236.

Find LCM of 364,283,586,342 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 182 x 283 x 293 x 171 = 5161210236

Therefore, the lowest common multiple of 364,283,586,342 is 5161210236.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

364 x 283 x 586 x 342 = 20644840944

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

283 : 1, 283

586 : 1, 2, 293, 586

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,283,586,342, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

283:283

586:2x 293

342:2x 3x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 20644840944/(1x4)

LCM = 20644840944/4

LCM = 5161210236

Thus, we can understand that the LCM of 364,283,586,342 is 5161210236.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 540, 150, 750, 317
• LCM of 557, 474, 105, 643
• LCM of 400, 949, 538, 533
• LCM of 207, 196, 117, 500
• LCM of 211, 117, 294, 756

1. What is the LCM of 364, 283, 586, 342?

Answer: LCM of 364, 283, 586, 342 is 5161210236.

2. How to calculate the LCM of 364, 283, 586, 342?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 364, 283, 586, 342.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.