Given numbers are 484,348,702,456,288

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

The LCM of 484,348,702,456,288 is 748848672.

Find LCM of 484,348,702,456,288 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 121 x 29 x 39 x 19 x 4 = 748848672

Therefore, the lowest common multiple of 484,348,702,456,288 is 748848672.

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.

484 x 348 x 702 x 456 x 288 = 15528126062592

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,348,702,456,288, is 2.

Now, the common factors can be found like this.

484:2x 2x 11x 11

348:2x 2x 3x 29

702:2x 3x 3x 3x 13

456:2x 2x 2x 3x 19

288:2x 2x 2x 2x 2x 3x 3

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 2x 3x 3x 3x 3 = 10368

Therefore, the value for common factors is 10368.

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 = 15528126062592/(2x10368)

LCM = 15528126062592/20736

LCM = 748848672

Thus, we can understand that the LCM of 484,348,702,456,288 is 748848672.

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

• LCM of 196, 888, 450, 928, 117
• LCM of 741, 397, 954, 619, 600
• LCM of 168, 621, 498, 514, 254
• LCM of 686, 279, 650, 152, 195
• LCM of 914, 689, 108, 885, 403

1. What is the LCM of 484, 348, 702, 456, 288?

Answer: LCM of 484, 348, 702, 456, 288 is 748848672.

2. How to calculate the LCM of 484, 348, 702, 456, 288?

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 484, 348, 702, 456, 288.

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}.