Given numbers are 456,380,855,421,668

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

The LCM of 456,380,855,421,668 is 480899880.

Find LCM of 456,380,855,421,668 with Prime Factorization

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

2 x 2 x 3 x 5 x 19 x 2 x 1 x 3 x 421 x 167 = 480899880

Therefore, the lowest common multiple of 456,380,855,421,668 is 480899880.

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.

456 x 380 x 855 x 421 x 668 = 41665165603200

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

421 : 1, 421

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,380,855,421,668, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

380:2x 2x 5x 19

855:3x 3x 5x 19

421:421

668:2x 2x 167

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 3x 5x 19x 19 = 86640

Therefore, the value for common factors is 86640.

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 = 41665165603200/(1x86640)

LCM = 41665165603200/86640

LCM = 480899880

Thus, we can understand that the LCM of 456,380,855,421,668 is 480899880.

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

• LCM of 411, 459, 150, 196, 186
• LCM of 579, 692, 211, 605, 905
• LCM of 772, 132, 256, 151, 321
• LCM of 834, 470, 559, 676, 678
• LCM of 410, 250, 770, 522, 316

1. What is the LCM of 456, 380, 855, 421, 668?

Answer: LCM of 456, 380, 855, 421, 668 is 480899880.

2. How to calculate the LCM of 456, 380, 855, 421, 668?

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 456, 380, 855, 421, 668.

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}.