Given numbers are 456,622,750,990

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

The LCM of 456,622,750,990 is 584991000.

Find LCM of 456,622,750,990 with Prime Factorization

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

2 x 3 x 5 x 76 x 311 x 25 x 33 = 584991000

Therefore, the lowest common multiple of 456,622,750,990 is 584991000.

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.

456 x 622 x 750 x 990 = 210596760000

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

622 : 1, 2, 311, 622

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 456,622,750,990, is 2.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

622:2x 311

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 210596760000/(2x180)

LCM = 210596760000/360

LCM = 584991000

Thus, we can understand that the LCM of 456,622,750,990 is 584991000.

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

• LCM of 143, 615, 963, 730
• LCM of 495, 725, 464, 960
• LCM of 315, 625, 808, 628
• LCM of 439, 546, 979, 316
• LCM of 937, 354, 510, 507

1. What is the LCM of 456, 622, 750, 990?

Answer: LCM of 456, 622, 750, 990 is 584991000.

2. How to calculate the LCM of 456, 622, 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 456, 622, 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}.