Given numbers are 582,702,216,260,409

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

The LCM of 582,702,216,260,409 is 557008920.

Find LCM of 582,702,216,260,409 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 13 x 97 x 1 x 2 x 5 x 409 = 557008920

Therefore, the lowest common multiple of 582,702,216,260,409 is 557008920.

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.

582 x 702 x 216 x 260 x 409 = 9384486284160

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,702,216,260,409, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

702:2x 3x 3x 3x 13

216:2x 2x 2x 3x 3x 3

260:2x 2x 5x 13

409:409

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 3x 3x 3x 3x 13 = 16848

Therefore, the value for common factors is 16848.

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 = 9384486284160/(1x16848)

LCM = 9384486284160/16848

LCM = 557008920

Thus, we can understand that the LCM of 582,702,216,260,409 is 557008920.

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

• LCM of 148, 287, 505, 633, 696
• LCM of 243, 890, 290, 189, 330
• LCM of 218, 873, 974, 274, 985
• LCM of 513, 383, 574, 790, 895
• LCM of 546, 613, 134, 255, 268

1. What is the LCM of 582, 702, 216, 260, 409?

Answer: LCM of 582, 702, 216, 260, 409 is 557008920.

2. How to calculate the LCM of 582, 702, 216, 260, 409?

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 582, 702, 216, 260, 409.

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}.