Given numbers are 115,406,330,760,964

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

The LCM of 115,406,330,760,964 is 28220743320.

Find LCM of 115,406,330,760,964 with Prime Factorization

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

2 x 2 x 5 x 23 x 203 x 33 x 38 x 241 = 28220743320

Therefore, the lowest common multiple of 115,406,330,760,964 is 28220743320.

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.

115 x 406 x 330 x 760 x 964 = 11288297328000

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.

115 : 1, 5, 23, 115

406 : 1, 2, 7, 14, 29, 58, 203, 406

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,406,330,760,964, is 1.

Now, the common factors can be found like this.

115:5x 23

406:2x 7x 29

330:2x 3x 5x 11

760:2x 2x 2x 5x 19

964:2x 2x 241

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 11288297328000/(1x400)

LCM = 11288297328000/400

LCM = 28220743320

Thus, we can understand that the LCM of 115,406,330,760,964 is 28220743320.

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

• LCM of 548, 508, 827, 448, 691
• LCM of 890, 560, 455, 348, 468
• LCM of 991, 701, 385, 189, 423
• LCM of 323, 246, 941, 384, 740
• LCM of 404, 958, 304, 238, 493

1. What is the LCM of 115, 406, 330, 760, 964?

Answer: LCM of 115, 406, 330, 760, 964 is 28220743320.

2. How to calculate the LCM of 115, 406, 330, 760, 964?

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 115, 406, 330, 760, 964.

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}.