Given numbers are 462,107,990,928

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

The LCM of 462,107,990,928 is 344060640.

Find LCM of 462,107,990,928 with Prime Factorization

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

2 x 3 x 11 x 7 x 107 x 15 x 464 = 344060640

Therefore, the lowest common multiple of 462,107,990,928 is 344060640.

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.

462 x 107 x 990 x 928 = 45416004480

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.

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

107 : 1, 107

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

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,107,990,928, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

107:107

990:2x 3x 3x 5x 11

928:2x 2x 2x 2x 2x 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 2x 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 45416004480/(1x132)

LCM = 45416004480/132

LCM = 344060640

Thus, we can understand that the LCM of 462,107,990,928 is 344060640.

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

• LCM of 237, 778, 132, 282
• LCM of 798, 870, 660, 466
• LCM of 185, 675, 815, 468
• LCM of 590, 590, 165, 814
• LCM of 133, 878, 726, 560

1. What is the LCM of 462, 107, 990, 928?

Answer: LCM of 462, 107, 990, 928 is 344060640.

2. How to calculate the LCM of 462, 107, 990, 928?

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 462, 107, 990, 928.

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}.