Given numbers are 651,512,638,560,414

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

The LCM of 651,512,638,560,414 is 36682652160.

Find LCM of 651,512,638,560,414 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 7 x 31 x 32 x 319 x 5 x 69 = 36682652160

Therefore, the lowest common multiple of 651,512,638,560,414 is 36682652160.

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.

651 x 512 x 638 x 560 x 414 = 49301484503040

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.

651 : 1, 3, 7, 21, 31, 93, 217, 651

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

638 : 1, 2, 11, 22, 29, 58, 319, 638

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,512,638,560,414, is 1.

Now, the common factors can be found like this.

651:3x 7x 31

512:2x 2x 2x 2x 2x 2x 2x 2x 2

638:2x 11x 29

560:2x 2x 2x 2x 5x 7

414:2x 3x 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 7 = 1344

Therefore, the value for common factors is 1344.

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 = 49301484503040/(1x1344)

LCM = 49301484503040/1344

LCM = 36682652160

Thus, we can understand that the LCM of 651,512,638,560,414 is 36682652160.

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

• LCM of 252, 420, 450, 423, 892
• LCM of 402, 759, 913, 371, 188
• LCM of 336, 185, 743, 598, 653
• LCM of 458, 926, 805, 341, 636
• LCM of 125, 216, 328, 238, 780

1. What is the LCM of 651, 512, 638, 560, 414?

Answer: LCM of 651, 512, 638, 560, 414 is 36682652160.

2. How to calculate the LCM of 651, 512, 638, 560, 414?

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 651, 512, 638, 560, 414.

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}.