Given numbers are 382,370,992,594,642

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

The LCM of 382,370,992,594,642 is 1113927677280.

Find LCM of 382,370,992,594,642 with Prime Factorization

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

2 x 3 x 191 x 185 x 496 x 99 x 107 = 1113927677280

Therefore, the lowest common multiple of 382,370,992,594,642 is 1113927677280.

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.

382 x 370 x 992 x 594 x 642 = 53468528509440

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.

382 : 1, 2, 191, 382

370 : 1, 2, 5, 10, 37, 74, 185, 370

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,370,992,594,642, is 2.

Now, the common factors can be found like this.

382:2x 191

370:2x 5x 37

992:2x 2x 2x 2x 2x 31

594:2x 3x 3x 3x 11

642:2x 3x 107

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 3 = 24

Therefore, the value for common factors is 24.

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 = 53468528509440/(2x24)

LCM = 53468528509440/48

LCM = 1113927677280

Thus, we can understand that the LCM of 382,370,992,594,642 is 1113927677280.

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

• LCM of 347, 895, 552, 950, 275
• LCM of 345, 245, 314, 101, 909
• LCM of 411, 603, 160, 432, 422
• LCM of 708, 451, 765, 964, 683
• LCM of 296, 547, 607, 378, 836

1. What is the LCM of 382, 370, 992, 594, 642?

Answer: LCM of 382, 370, 992, 594, 642 is 1113927677280.

2. How to calculate the LCM of 382, 370, 992, 594, 642?

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 382, 370, 992, 594, 642.

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}.