Given numbers are 396,630,964,368,742

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

The LCM of 396,630,964,368,742 is 16287107760.

Find LCM of 396,630,964,368,742 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 11 x 5 x 241 x 92 x 53 = 16287107760

Therefore, the lowest common multiple of 396,630,964,368,742 is 16287107760.

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.

396 x 630 x 964 x 368 x 742 = 65669618488320

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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

964 : 1, 2, 4, 241, 482, 964

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,630,964,368,742, is 2.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

630:2x 3x 3x 5x 7

964:2x 2x 241

368:2x 2x 2x 2x 23

742:2x 7x 53

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 2x 3x 3x 7 = 2016

Therefore, the value for common factors is 2016.

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 = 65669618488320/(2x2016)

LCM = 65669618488320/4032

LCM = 16287107760

Thus, we can understand that the LCM of 396,630,964,368,742 is 16287107760.

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

• LCM of 313, 172, 216, 337, 156
• LCM of 473, 889, 723, 748, 261
• LCM of 469, 679, 707, 892, 950
• LCM of 389, 903, 899, 391, 510
• LCM of 641, 931, 991, 737, 954

1. What is the LCM of 396, 630, 964, 368, 742?

Answer: LCM of 396, 630, 964, 368, 742 is 16287107760.

2. How to calculate the LCM of 396, 630, 964, 368, 742?

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 396, 630, 964, 368, 742.

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}.