Given numbers are 221,338,464,780,376

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

The LCM of 221,338,464,780,376 is 939815760.

Find LCM of 221,338,464,780,376 with Prime Factorization

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

2 x 2 x 2 x 13 x 17 x 13 x 58 x 15 x 47 = 939815760

Therefore, the lowest common multiple of 221,338,464,780,376 is 939815760.

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.

221 x 338 x 464 x 780 x 376 = 10165047260160

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.

221 : 1, 13, 17, 221

338 : 1, 2, 13, 26, 169, 338

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

376 : 1, 2, 4, 8, 47, 94, 188, 376

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,338,464,780,376, is 1.

Now, the common factors can be found like this.

221:13x 17

338:2x 13x 13

464:2x 2x 2x 2x 29

780:2x 2x 3x 5x 13

376:2x 2x 2x 47

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 13x 13 = 10816

Therefore, the value for common factors is 10816.

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 = 10165047260160/(1x10816)

LCM = 10165047260160/10816

LCM = 939815760

Thus, we can understand that the LCM of 221,338,464,780,376 is 939815760.

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

• LCM of 439, 963, 853, 706, 748
• LCM of 312, 348, 609, 713, 587
• LCM of 248, 821, 331, 800, 502
• LCM of 855, 296, 459, 359, 851
• LCM of 614, 557, 335, 392, 210

1. What is the LCM of 221, 338, 464, 780, 376?

Answer: LCM of 221, 338, 464, 780, 376 is 939815760.

2. How to calculate the LCM of 221, 338, 464, 780, 376?

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 221, 338, 464, 780, 376.

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}.