Given numbers are 442,884,168,702,426

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

The LCM of 442,884,168,702,426 is 23724792.

Find LCM of 442,884,168,702,426 with Prime Factorization

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

2 x 2 x 3 x 13 x 17 x 1 x 1 x 14 x 9 x 71 = 23724792

Therefore, the lowest common multiple of 442,884,168,702,426 is 23724792.

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.

442 x 884 x 168 x 702 x 426 = 19630462295808

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

426 : 1, 2, 3, 6, 71, 142, 213, 426

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,884,168,702,426, is 2.

Now, the common factors can be found like this.

442:2x 13x 17

884:2x 2x 13x 17

168:2x 2x 2x 3x 7

702:2x 3x 3x 3x 13

426:2x 3x 71

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 13x 13x 17 = 413712

Therefore, the value for common factors is 413712.

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 = 19630462295808/(2x413712)

LCM = 19630462295808/827424

LCM = 23724792

Thus, we can understand that the LCM of 442,884,168,702,426 is 23724792.

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

• LCM of 106, 226, 634, 472, 364
• LCM of 518, 923, 482, 398, 439
• LCM of 942, 277, 977, 353, 111
• LCM of 154, 327, 451, 333, 776
• LCM of 606, 964, 424, 783, 151

1. What is the LCM of 442, 884, 168, 702, 426?

Answer: LCM of 442, 884, 168, 702, 426 is 23724792.

2. How to calculate the LCM of 442, 884, 168, 702, 426?

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 442, 884, 168, 702, 426.

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}.