Given numbers are 288,460,963,374,552

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

The LCM of 288,460,963,374,552 is 662698080.

Find LCM of 288,460,963,374,552 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 23 x 4 x 5 x 107 x 187 x 1 = 662698080

Therefore, the lowest common multiple of 288,460,963,374,552 is 662698080.

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.

288 x 460 x 963 x 374 x 552 = 26338272491520

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.

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

963 : 1, 3, 9, 107, 321, 963

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,460,963,374,552, is 1.

Now, the common factors can be found like this.

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

460:2x 2x 5x 23

963:3x 3x 107

374:2x 11x 17

552:2x 2x 2x 3x 23

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 3x 3x 3x 23 = 39744

Therefore, the value for common factors is 39744.

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 = 26338272491520/(1x39744)

LCM = 26338272491520/39744

LCM = 662698080

Thus, we can understand that the LCM of 288,460,963,374,552 is 662698080.

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

• LCM of 712, 533, 227, 896, 167
• LCM of 734, 820, 824, 391, 366
• LCM of 512, 331, 467, 303, 321
• LCM of 249, 963, 596, 543, 131
• LCM of 119, 194, 878, 215, 770

1. What is the LCM of 288, 460, 963, 374, 552?

Answer: LCM of 288, 460, 963, 374, 552 is 662698080.

2. How to calculate the LCM of 288, 460, 963, 374, 552?

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 288, 460, 963, 374, 552.

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}.