Given numbers are 386,163,400,936,442

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

The LCM of 386,163,400,936,442 is 25028780400.

Find LCM of 386,163,400,936,442 with Prime Factorization

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

2 x 2 x 2 x 13 x 193 x 163 x 50 x 9 x 17 = 25028780400

Therefore, the lowest common multiple of 386,163,400,936,442 is 25028780400.

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.

386 x 163 x 400 x 936 x 442 = 10411972646400

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.

386 : 1, 2, 193, 386

163 : 1, 163

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,163,400,936,442, is 1.

Now, the common factors can be found like this.

386:2x 193

163:163

400:2x 2x 2x 2x 5x 5

936:2x 2x 2x 3x 3x 13

442:2x 13x 17

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 13 = 416

Therefore, the value for common factors is 416.

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 = 10411972646400/(1x416)

LCM = 10411972646400/416

LCM = 25028780400

Thus, we can understand that the LCM of 386,163,400,936,442 is 25028780400.

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

• LCM of 689, 713, 914, 970, 226
• LCM of 926, 111, 862, 123, 249
• LCM of 529, 314, 316, 547, 513
• LCM of 819, 585, 827, 474, 351
• LCM of 738, 580, 597, 265, 623

1. What is the LCM of 386, 163, 400, 936, 442?

Answer: LCM of 386, 163, 400, 936, 442 is 25028780400.

2. How to calculate the LCM of 386, 163, 400, 936, 442?

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 386, 163, 400, 936, 442.

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}.