Given numbers are 408,863,473,736,480

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

The LCM of 408,863,473,736,480 is 76610788320.

Find LCM of 408,863,473,736,480 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 17 x 863 x 473 x 23 x 5 = 76610788320

Therefore, the lowest common multiple of 408,863,473,736,480 is 76610788320.

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.

408 x 863 x 473 x 736 x 480 = 58837085429760

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

863 : 1, 863

473 : 1, 11, 43, 473

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,863,473,736,480, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

863:863

473:11x 43

736:2x 2x 2x 2x 2x 23

480:2x 2x 2x 2x 2x 3x 5

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 2x 2x 3 = 768

Therefore, the value for common factors is 768.

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 = 58837085429760/(1x768)

LCM = 58837085429760/768

LCM = 76610788320

Thus, we can understand that the LCM of 408,863,473,736,480 is 76610788320.

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

• LCM of 779, 752, 144, 917, 820
• LCM of 970, 986, 783, 262, 499
• LCM of 992, 469, 259, 581, 952
• LCM of 386, 857, 827, 455, 873
• LCM of 525, 702, 313, 586, 609

1. What is the LCM of 408, 863, 473, 736, 480?

Answer: LCM of 408, 863, 473, 736, 480 is 76610788320.

2. How to calculate the LCM of 408, 863, 473, 736, 480?

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 408, 863, 473, 736, 480.

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}.