Given numbers are 501,460,363,207,406

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

The LCM of 501,460,363,207,406 is 16982366940.

Find LCM of 501,460,363,207,406 with Prime Factorization

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

2 x 3 x 23 x 167 x 10 x 121 x 3 x 203 = 16982366940

Therefore, the lowest common multiple of 501,460,363,207,406 is 16982366940.

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.

501 x 460 x 363 x 207 x 406 = 7030699913160

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.

501 : 1, 3, 167, 501

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

363 : 1, 3, 11, 33, 121, 363

207 : 1, 3, 9, 23, 69, 207

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,460,363,207,406, is 1.

Now, the common factors can be found like this.

501:3x 167

460:2x 2x 5x 23

363:3x 11x 11

207:3x 3x 23

406:2x 7x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 23 = 414

Therefore, the value for common factors is 414.

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 = 7030699913160/(1x414)

LCM = 7030699913160/414

LCM = 16982366940

Thus, we can understand that the LCM of 501,460,363,207,406 is 16982366940.

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

• LCM of 627, 505, 113, 999, 649
• LCM of 721, 913, 762, 775, 817
• LCM of 269, 766, 572, 383, 630
• LCM of 480, 748, 198, 953, 478
• LCM of 887, 547, 147, 880, 784

1. What is the LCM of 501, 460, 363, 207, 406?

Answer: LCM of 501, 460, 363, 207, 406 is 16982366940.

2. How to calculate the LCM of 501, 460, 363, 207, 406?

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 501, 460, 363, 207, 406.

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}.