Given numbers are 470,474,539,410,800

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

The LCM of 470,474,539,410,800 is 196928608800.

Find LCM of 470,474,539,410,800 with Prime Factorization

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

2 x 5 x 47 x 237 x 539 x 41 x 80 = 196928608800

Therefore, the lowest common multiple of 470,474,539,410,800 is 196928608800.

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.

470 x 474 x 539 x 410 x 800 = 39385721760000

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

474 : 1, 2, 3, 6, 79, 158, 237, 474

539 : 1, 7, 11, 49, 77, 539

410 : 1, 2, 5, 10, 41, 82, 205, 410

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,474,539,410,800, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

474:2x 3x 79

539:7x 7x 11

410:2x 5x 41

800:2x 2x 2x 2x 2x 5x 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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 39385721760000/(1x200)

LCM = 39385721760000/200

LCM = 196928608800

Thus, we can understand that the LCM of 470,474,539,410,800 is 196928608800.

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

• LCM of 225, 905, 638, 899, 449
• LCM of 135, 140, 792, 759, 193
• LCM of 340, 691, 792, 598, 793
• LCM of 928, 257, 931, 315, 689
• LCM of 291, 514, 236, 370, 983

1. What is the LCM of 470, 474, 539, 410, 800?

Answer: LCM of 470, 474, 539, 410, 800 is 196928608800.

2. How to calculate the LCM of 470, 474, 539, 410, 800?

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 470, 474, 539, 410, 800.

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}.