Given numbers are 460,432,750,990

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

The LCM of 460,432,750,990 is 13662000.

Find LCM of 460,432,750,990 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 23 x 12 x 25 x 11 = 13662000

Therefore, the lowest common multiple of 460,432,750,990 is 13662000.

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.

460 x 432 x 750 x 990 = 147549600000

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,432,750,990, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

432:2x 2x 2x 2x 3x 3x 3

750:2x 3x 5x 5x 5

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 5x 5 = 5400

Therefore, the value for common factors is 5400.

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 = 147549600000/(2x5400)

LCM = 147549600000/10800

LCM = 13662000

Thus, we can understand that the LCM of 460,432,750,990 is 13662000.

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

• LCM of 861, 982, 211, 666
• LCM of 912, 149, 633, 665
• LCM of 533, 718, 683, 940
• LCM of 199, 355, 881, 735
• LCM of 514, 259, 905, 808

1. What is the LCM of 460, 432, 750, 990?

Answer: LCM of 460, 432, 750, 990 is 13662000.

2. How to calculate the LCM of 460, 432, 750, 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 460, 432, 750, 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}.