Given numbers are 393,630,684,642,648

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

The LCM of 393,630,684,642,648 is 6040205640.

Find LCM of 393,630,684,642,648 with Prime Factorization

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

2 x 2 x 3 x 3 x 131 x 35 x 19 x 107 x 18 = 6040205640

Therefore, the lowest common multiple of 393,630,684,642,648 is 6040205640.

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.

393 x 630 x 684 x 642 x 648 = 70452958584960

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.

393 : 1, 3, 131, 393

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

642 : 1, 2, 3, 6, 107, 214, 321, 642

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,630,684,642,648, is 3.

Now, the common factors can be found like this.

393:3x 131

630:2x 3x 3x 5x 7

684:2x 2x 3x 3x 19

642:2x 3x 107

648:2x 2x 2x 3x 3x 3x 3

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 2x 3x 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 70452958584960/(3x3888)

LCM = 70452958584960/11664

LCM = 6040205640

Thus, we can understand that the LCM of 393,630,684,642,648 is 6040205640.

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

• LCM of 669, 674, 734, 453, 360
• LCM of 172, 300, 104, 762, 141
• LCM of 780, 663, 432, 404, 416
• LCM of 958, 390, 626, 909, 911
• LCM of 838, 350, 613, 815, 202

1. What is the LCM of 393, 630, 684, 642, 648?

Answer: LCM of 393, 630, 684, 642, 648 is 6040205640.

2. How to calculate the LCM of 393, 630, 684, 642, 648?

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 393, 630, 684, 642, 648.

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}.