Given numbers are 299,793,416,343

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

The LCM of 299,793,416,343 is 200191264.

Find LCM of 299,793,416,343 with Prime Factorization

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

13 x 23 x 61 x 32 x 343 = 200191264

Therefore, the lowest common multiple of 299,793,416,343 is 200191264.

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.

299 x 793 x 416 x 343 = 33832323616

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.

299 : 1, 13, 23, 299

793 : 1, 13, 61, 793

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,793,416,343, is 1.

Now, the common factors can be found like this.

299:13x 23

793:13x 61

416:2x 2x 2x 2x 2x 13

343:7x 7x 7

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 33832323616/(1x169)

LCM = 33832323616/169

LCM = 200191264

Thus, we can understand that the LCM of 299,793,416,343 is 200191264.

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

• LCM of 963, 120, 204, 376
• LCM of 791, 416, 280, 235
• LCM of 130, 836, 214, 223
• LCM of 656, 702, 410, 417
• LCM of 321, 722, 372, 386

1. What is the LCM of 299, 793, 416, 343?

Answer: LCM of 299, 793, 416, 343 is 200191264.

2. How to calculate the LCM of 299, 793, 416, 343?

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 299, 793, 416, 343.

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}.