Given numbers are 442,104,192,293

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

The LCM of 442,104,192,293 is 12432576.

Find LCM of 442,104,192,293 with Prime Factorization

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

2 x 2 x 2 x 13 x 17 x 1 x 24 x 293 = 12432576

Therefore, the lowest common multiple of 442,104,192,293 is 12432576.

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 104 x 192 x 293 = 2585975808

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,104,192,293, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

104:2x 2x 2x 13

192:2x 2x 2x 2x 2x 2x 3

293:293

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 13 = 208

Therefore, the value for common factors is 208.

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 = 2585975808/(1x208)

LCM = 2585975808/208

LCM = 12432576

Thus, we can understand that the LCM of 442,104,192,293 is 12432576.

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

• LCM of 649, 707, 674, 936
• LCM of 774, 697, 504, 150
• LCM of 238, 445, 903, 309
• LCM of 352, 681, 970, 738
• LCM of 193, 794, 873, 403

1. What is the LCM of 442, 104, 192, 293?

Answer: LCM of 442, 104, 192, 293 is 12432576.

2. How to calculate the LCM of 442, 104, 192, 293?

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, 104, 192, 293.

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}.