Given numbers are 416,715,406,772,506

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

The LCM of 416,715,406,772,506 is 20617556960.

Find LCM of 416,715,406,772,506 with Prime Factorization

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

2 x 2 x 11 x 13 x 8 x 5 x 203 x 193 x 23 = 20617556960

Therefore, the lowest common multiple of 416,715,406,772,506 is 20617556960.

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.

416 x 715 x 406 x 772 x 506 = 47172970324480

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

715 : 1, 5, 11, 13, 55, 65, 143, 715

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

772 : 1, 2, 4, 193, 386, 772

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,715,406,772,506, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

715:5x 11x 13

406:2x 7x 29

772:2x 2x 193

506:2x 11x 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 11x 13 = 2288

Therefore, the value for common factors is 2288.

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 = 47172970324480/(1x2288)

LCM = 47172970324480/2288

LCM = 20617556960

Thus, we can understand that the LCM of 416,715,406,772,506 is 20617556960.

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

• LCM of 804, 644, 223, 448, 275
• LCM of 716, 383, 206, 960, 320
• LCM of 791, 963, 265, 189, 457
• LCM of 985, 882, 284, 882, 465
• LCM of 366, 356, 834, 206, 812

1. What is the LCM of 416, 715, 406, 772, 506?

Answer: LCM of 416, 715, 406, 772, 506 is 20617556960.

2. How to calculate the LCM of 416, 715, 406, 772, 506?

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 416, 715, 406, 772, 506.

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}.