Given numbers are 402,427,609,515,406

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

The LCM of 402,427,609,515,406 is 2563652490.

Find LCM of 402,427,609,515,406 with Prime Factorization

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

2 x 3 x 7 x 29 x 67 x 61 x 1 x 515 x 1 = 2563652490

Therefore, the lowest common multiple of 402,427,609,515,406 is 2563652490.

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.

402 x 427 x 609 x 515 x 406 = 21857701129740

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

427 : 1, 7, 61, 427

609 : 1, 3, 7, 21, 29, 87, 203, 609

515 : 1, 5, 103, 515

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,427,609,515,406, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

427:7x 61

609:3x 7x 29

515:5x 103

406:2x 7x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 7x 7x 29 = 8526

Therefore, the value for common factors is 8526.

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 = 21857701129740/(1x8526)

LCM = 21857701129740/8526

LCM = 2563652490

Thus, we can understand that the LCM of 402,427,609,515,406 is 2563652490.

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

• LCM of 446, 133, 278, 592, 397
• LCM of 348, 708, 672, 615, 771
• LCM of 120, 793, 872, 725, 826
• LCM of 181, 217, 926, 541, 756
• LCM of 551, 300, 432, 682, 124

1. What is the LCM of 402, 427, 609, 515, 406?

Answer: LCM of 402, 427, 609, 515, 406 is 2563652490.

2. How to calculate the LCM of 402, 427, 609, 515, 406?

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 402, 427, 609, 515, 406.

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}.