Given numbers are 352,336,442,970,396

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

The LCM of 352,336,442,970,396 is 2376934560.

Find LCM of 352,336,442,970,396 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 2 x 7 x 221 x 485 x 3 = 2376934560

Therefore, the lowest common multiple of 352,336,442,970,396 is 2376934560.

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.

352 x 336 x 442 x 970 x 396 = 20080343162880

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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

970 : 1, 2, 5, 10, 97, 194, 485, 970

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,336,442,970,396, is 2.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

336:2x 2x 2x 2x 3x 7

442:2x 13x 17

970:2x 5x 97

396:2x 2x 3x 3x 11

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 2x 2x 3x 11 = 4224

Therefore, the value for common factors is 4224.

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 = 20080343162880/(2x4224)

LCM = 20080343162880/8448

LCM = 2376934560

Thus, we can understand that the LCM of 352,336,442,970,396 is 2376934560.

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

• LCM of 549, 380, 850, 103, 963
• LCM of 590, 255, 787, 307, 294
• LCM of 247, 614, 258, 684, 594
• LCM of 788, 803, 537, 482, 447
• LCM of 887, 490, 609, 502, 853

1. What is the LCM of 352, 336, 442, 970, 396?

Answer: LCM of 352, 336, 442, 970, 396 is 2376934560.

2. How to calculate the LCM of 352, 336, 442, 970, 396?

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 352, 336, 442, 970, 396.

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}.