Given numbers are 407,472,515,506,912

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

The LCM of 407,472,515,506,912 is 259403794320.

Find LCM of 407,472,515,506,912 with Prime Factorization

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

2 x 2 x 2 x 11 x 37 x 59 x 515 x 23 x 114 = 259403794320

Therefore, the lowest common multiple of 407,472,515,506,912 is 259403794320.

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.

407 x 472 x 515 x 506 x 912 = 45655067800320

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.

407 : 1, 11, 37, 407

472 : 1, 2, 4, 8, 59, 118, 236, 472

515 : 1, 5, 103, 515

506 : 1, 2, 11, 22, 23, 46, 253, 506

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 407,472,515,506,912, is 1.

Now, the common factors can be found like this.

407:11x 37

472:2x 2x 2x 59

515:5x 103

506:2x 11x 23

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 11 = 176

Therefore, the value for common factors is 176.

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 = 45655067800320/(1x176)

LCM = 45655067800320/176

LCM = 259403794320

Thus, we can understand that the LCM of 407,472,515,506,912 is 259403794320.

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

• LCM of 554, 959, 654, 650, 233
• LCM of 112, 198, 305, 428, 362
• LCM of 885, 337, 935, 576, 728
• LCM of 295, 844, 857, 289, 472
• LCM of 197, 554, 849, 193, 446

1. What is the LCM of 407, 472, 515, 506, 912?

Answer: LCM of 407, 472, 515, 506, 912 is 259403794320.

2. How to calculate the LCM of 407, 472, 515, 506, 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 407, 472, 515, 506, 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}.