Given numbers are 629,450,960,466

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

The LCM of 629,450,960,466 is 2110420800.

Find LCM of 629,450,960,466 with Prime Factorization

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

2 x 3 x 5 x 629 x 15 x 32 x 233 = 2110420800

Therefore, the lowest common multiple of 629,450,960,466 is 2110420800.

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.

629 x 450 x 960 x 466 = 126625248000

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.

629 : 1, 17, 37, 629

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,450,960,466, is 1.

Now, the common factors can be found like this.

629:17x 37

450:2x 3x 3x 5x 5

960:2x 2x 2x 2x 2x 2x 3x 5

466:2x 233

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 5 = 60

Therefore, the value for common factors is 60.

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 = 126625248000/(1x60)

LCM = 126625248000/60

LCM = 2110420800

Thus, we can understand that the LCM of 629,450,960,466 is 2110420800.

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

• LCM of 714, 144, 257, 559
• LCM of 712, 693, 799, 488
• LCM of 958, 602, 359, 572
• LCM of 262, 787, 157, 705
• LCM of 297, 581, 191, 853

1. What is the LCM of 629, 450, 960, 466?

Answer: LCM of 629, 450, 960, 466 is 2110420800.

2. How to calculate the LCM of 629, 450, 960, 466?

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 629, 450, 960, 466.

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}.