Given numbers are 480,342,566,702,374

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

The LCM of 480,342,566,702,374 is 56468823840.

Find LCM of 480,342,566,702,374 with Prime Factorization

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

2 x 3 x 3 x 80 x 19 x 283 x 39 x 187 = 56468823840

Therefore, the lowest common multiple of 480,342,566,702,374 is 56468823840.

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.

480 x 342 x 566 x 702 x 374 = 24394531898880

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

566 : 1, 2, 283, 566

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,342,566,702,374, is 2.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

342:2x 3x 3x 19

566:2x 283

702:2x 3x 3x 3x 13

374:2x 11x 17

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 24394531898880/(2x216)

LCM = 24394531898880/432

LCM = 56468823840

Thus, we can understand that the LCM of 480,342,566,702,374 is 56468823840.

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

• LCM of 820, 479, 532, 843, 896
• LCM of 723, 315, 409, 249, 761
• LCM of 386, 407, 707, 582, 731
• LCM of 916, 603, 953, 775, 413
• LCM of 681, 735, 635, 594, 361

1. What is the LCM of 480, 342, 566, 702, 374?

Answer: LCM of 480, 342, 566, 702, 374 is 56468823840.

2. How to calculate the LCM of 480, 342, 566, 702, 374?

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 480, 342, 566, 702, 374.

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}.