Given numbers are 756,396,614,444,582

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

The LCM of 756,396,614,444,582 is 9162760068.

Find LCM of 756,396,614,444,582 with Prime Factorization

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

2 x 2 x 3 x 3 x 21 x 11 x 307 x 37 x 97 = 9162760068

Therefore, the lowest common multiple of 756,396,614,444,582 is 9162760068.

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.

756 x 396 x 614 x 444 x 582 = 47499748192512

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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

614 : 1, 2, 307, 614

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

582 : 1, 2, 3, 6, 97, 194, 291, 582

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,396,614,444,582, is 2.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

396:2x 2x 3x 3x 11

614:2x 307

444:2x 2x 3x 37

582:2x 3x 97

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 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 47499748192512/(2x2592)

LCM = 47499748192512/5184

LCM = 9162760068

Thus, we can understand that the LCM of 756,396,614,444,582 is 9162760068.

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

• LCM of 765, 497, 775, 358, 296
• LCM of 253, 834, 508, 145, 294
• LCM of 931, 336, 430, 429, 388
• LCM of 554, 419, 376, 591, 109
• LCM of 478, 909, 531, 239, 486

1. What is the LCM of 756, 396, 614, 444, 582?

Answer: LCM of 756, 396, 614, 444, 582 is 9162760068.

2. How to calculate the LCM of 756, 396, 614, 444, 582?

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 756, 396, 614, 444, 582.

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}.