Given numbers are 536,408,576,343

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

The LCM of 536,408,576,343 is 225029952.

Find LCM of 536,408,576,343 with Prime Factorization

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

2 x 2 x 2 x 3 x 67 x 17 x 24 x 343 = 225029952

Therefore, the lowest common multiple of 536,408,576,343 is 225029952.

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.

536 x 408 x 576 x 343 = 43205750784

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,408,576,343, is 1.

Now, the common factors can be found like this.

536:2x 2x 2x 67

408:2x 2x 2x 3x 17

576:2x 2x 2x 2x 2x 2x 3x 3

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.

2x 2x 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 43205750784/(1x192)

LCM = 43205750784/192

LCM = 225029952

Thus, we can understand that the LCM of 536,408,576,343 is 225029952.

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

• LCM of 667, 566, 914, 733
• LCM of 405, 294, 149, 741
• LCM of 799, 243, 455, 605
• LCM of 214, 824, 673, 250
• LCM of 811, 266, 324, 712

1. What is the LCM of 536, 408, 576, 343?

Answer: LCM of 536, 408, 576, 343 is 225029952.

2. How to calculate the LCM of 536, 408, 576, 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 536, 408, 576, 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}.