Given numbers are 406,720,552,608,743

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

The LCM of 406,720,552,608,743 is 94913673120.

Find LCM of 406,720,552,608,743 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 203 x 15 x 23 x 38 x 743 = 94913673120

Therefore, the lowest common multiple of 406,720,552,608,743 is 94913673120.

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.

406 x 720 x 552 x 608 x 743 = 72893700956160

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.

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,720,552,608,743, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

720:2x 2x 2x 2x 3x 3x 5

552:2x 2x 2x 3x 23

608:2x 2x 2x 2x 2x 19

743:743

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 = 72893700956160/(1x768)

LCM = 72893700956160/768

LCM = 94913673120

Thus, we can understand that the LCM of 406,720,552,608,743 is 94913673120.

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

• LCM of 103, 777, 586, 412, 521
• LCM of 487, 940, 640, 140, 631
• LCM of 274, 850, 644, 626, 783
• LCM of 808, 120, 632, 481, 692
• LCM of 631, 447, 689, 960, 618

1. What is the LCM of 406, 720, 552, 608, 743?

Answer: LCM of 406, 720, 552, 608, 743 is 94913673120.

2. How to calculate the LCM of 406, 720, 552, 608, 743?

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 406, 720, 552, 608, 743.

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}.