Given numbers are 406,456,471,912

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

The LCM of 406,456,471,912 is 29066352.

Find LCM of 406,456,471,912 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 203 x 1 x 157 x 2 = 29066352

Therefore, the lowest common multiple of 406,456,471,912 is 29066352.

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 456 x 471 x 912 = 79525539072

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

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

471 : 1, 3, 157, 471

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,456,471,912, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

456:2x 2x 2x 3x 19

471:3x 157

912:2x 2x 2x 2x 3x 19

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 3x 19 = 2736

Therefore, the value for common factors is 2736.

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 = 79525539072/(1x2736)

LCM = 79525539072/2736

LCM = 29066352

Thus, we can understand that the LCM of 406,456,471,912 is 29066352.

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

• LCM of 423, 127, 802, 152
• LCM of 981, 299, 684, 116
• LCM of 757, 328, 910, 265
• LCM of 875, 980, 525, 845
• LCM of 836, 111, 776, 443

1. What is the LCM of 406, 456, 471, 912?

Answer: LCM of 406, 456, 471, 912 is 29066352.

2. How to calculate the LCM of 406, 456, 471, 912?

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, 456, 471, 912.

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}.