Given numbers are 759,192,864,424

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

The LCM of 759,192,864,424 is 23170752.

Find LCM of 759,192,864,424 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 253 x 2 x 9 x 53 = 23170752

Therefore, the lowest common multiple of 759,192,864,424 is 23170752.

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.

759 x 192 x 864 x 424 = 53385412608

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.

759 : 1, 3, 11, 23, 33, 69, 253, 759

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,192,864,424, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

192:2x 2x 2x 2x 2x 2x 3

864:2x 2x 2x 2x 2x 3x 3x 3

424:2x 2x 2x 53

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 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 53385412608/(1x2304)

LCM = 53385412608/2304

LCM = 23170752

Thus, we can understand that the LCM of 759,192,864,424 is 23170752.

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

• LCM of 182, 471, 476, 889
• LCM of 108, 502, 607, 296
• LCM of 531, 546, 491, 221
• LCM of 108, 294, 393, 786
• LCM of 400, 736, 332, 727

1. What is the LCM of 759, 192, 864, 424?

Answer: LCM of 759, 192, 864, 424 is 23170752.

2. How to calculate the LCM of 759, 192, 864, 424?

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 759, 192, 864, 424.

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}.