Given numbers are 772,120,736,432,257

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

The LCM of 772,120,736,432,257 is 4928355360.

Find LCM of 772,120,736,432,257 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 193 x 5 x 46 x 9 x 257 = 4928355360

Therefore, the lowest common multiple of 772,120,736,432,257 is 4928355360.

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.

772 x 120 x 736 x 432 x 257 = 7569953832960

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.

772 : 1, 2, 4, 193, 386, 772

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,120,736,432,257, is 1.

Now, the common factors can be found like this.

772:2x 2x 193

120:2x 2x 2x 3x 5

736:2x 2x 2x 2x 2x 23

432:2x 2x 2x 2x 3x 3x 3

257:257

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 2x 2x 3 = 1536

Therefore, the value for common factors is 1536.

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 = 7569953832960/(1x1536)

LCM = 7569953832960/1536

LCM = 4928355360

Thus, we can understand that the LCM of 772,120,736,432,257 is 4928355360.

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

• LCM of 575, 385, 538, 714, 727
• LCM of 991, 484, 490, 385, 145
• LCM of 765, 830, 714, 646, 401
• LCM of 553, 684, 166, 381, 559
• LCM of 724, 156, 893, 410, 429

1. What is the LCM of 772, 120, 736, 432, 257?

Answer: LCM of 772, 120, 736, 432, 257 is 4928355360.

2. How to calculate the LCM of 772, 120, 736, 432, 257?

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 772, 120, 736, 432, 257.

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}.