Given numbers are 351,344,462,498,990

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

The LCM of 351,344,462,498,990 is 3858374520.

Find LCM of 351,344,462,498,990 with Prime Factorization

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

2 x 3 x 3 x 11 x 39 x 172 x 7 x 83 x 5 = 3858374520

Therefore, the lowest common multiple of 351,344,462,498,990 is 3858374520.

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.

351 x 344 x 462 x 498 x 990 = 27502493578560

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

344 : 1, 2, 4, 8, 43, 86, 172, 344

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

498 : 1, 2, 3, 6, 83, 166, 249, 498

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,344,462,498,990, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

344:2x 2x 2x 43

462:2x 3x 7x 11

498:2x 3x 83

990:2x 3x 3x 5x 11

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 3x 3x 3x 3x 11 = 7128

Therefore, the value for common factors is 7128.

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 = 27502493578560/(1x7128)

LCM = 27502493578560/7128

LCM = 3858374520

Thus, we can understand that the LCM of 351,344,462,498,990 is 3858374520.

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

• LCM of 963, 990, 904, 696, 482
• LCM of 426, 906, 171, 175, 697
• LCM of 671, 855, 749, 474, 549
• LCM of 815, 433, 445, 686, 442
• LCM of 201, 390, 241, 683, 486

1. What is the LCM of 351, 344, 462, 498, 990?

Answer: LCM of 351, 344, 462, 498, 990 is 3858374520.

2. How to calculate the LCM of 351, 344, 462, 498, 990?

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 351, 344, 462, 498, 990.

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}.