Given numbers are 564,461,646,412

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

The LCM of 564,461,646,412 is 8650073076.

Find LCM of 564,461,646,412 with Prime Factorization

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

2 x 2 x 141 x 461 x 323 x 103 = 8650073076

Therefore, the lowest common multiple of 564,461,646,412 is 8650073076.

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.

564 x 461 x 646 x 412 = 69200584608

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

461 : 1, 461

646 : 1, 2, 17, 19, 34, 38, 323, 646

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,461,646,412, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

461:461

646:2x 17x 19

412:2x 2x 103

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 2 = 8

Therefore, the value for common factors is 8.

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 = 69200584608/(1x8)

LCM = 69200584608/8

LCM = 8650073076

Thus, we can understand that the LCM of 564,461,646,412 is 8650073076.

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

• LCM of 381, 603, 747, 795
• LCM of 509, 195, 845, 723
• LCM of 827, 881, 782, 934
• LCM of 365, 960, 507, 601
• LCM of 699, 996, 425, 789

1. What is the LCM of 564, 461, 646, 412?

Answer: LCM of 564, 461, 646, 412 is 8650073076.

2. How to calculate the LCM of 564, 461, 646, 412?

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 564, 461, 646, 412.

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}.