Given numbers are 638,790,528,921,460

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

The LCM of 638,790,528,921,460 is 42706622640.

Find LCM of 638,790,528,921,460 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 29 x 79 x 4 x 307 x 23 = 42706622640

Therefore, the lowest common multiple of 638,790,528,921,460 is 42706622640.

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.

638 x 790 x 528 x 921 x 460 = 112745483769600

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.

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

790 : 1, 2, 5, 10, 79, 158, 395, 790

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

921 : 1, 3, 307, 921

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,790,528,921,460, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

790:2x 5x 79

528:2x 2x 2x 2x 3x 11

921:3x 307

460:2x 2x 5x 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 3x 5x 11 = 2640

Therefore, the value for common factors is 2640.

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 = 112745483769600/(1x2640)

LCM = 112745483769600/2640

LCM = 42706622640

Thus, we can understand that the LCM of 638,790,528,921,460 is 42706622640.

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

• LCM of 843, 547, 997, 533, 518
• LCM of 826, 412, 145, 399, 510
• LCM of 349, 353, 959, 338, 985
• LCM of 705, 750, 633, 959, 865
• LCM of 741, 384, 561, 792, 541

1. What is the LCM of 638, 790, 528, 921, 460?

Answer: LCM of 638, 790, 528, 921, 460 is 42706622640.

2. How to calculate the LCM of 638, 790, 528, 921, 460?

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 638, 790, 528, 921, 460.

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}.