Given numbers are 396,715,441,558,692

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

The LCM of 396,715,441,558,692 is 6764137380.

Find LCM of 396,715,441,558,692 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 1 x 65 x 49 x 31 x 173 = 6764137380

Therefore, the lowest common multiple of 396,715,441,558,692 is 6764137380.

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.

396 x 715 x 441 x 558 x 692 = 48214771244640

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.

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,715,441,558,692, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

715:5x 11x 13

441:3x 3x 7x 7

558:2x 3x 3x 31

692:2x 2x 173

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 3x 3x 3x 3x 11 = 7128

Therefore, the value for common factors is 7128.

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 = 48214771244640/(1x7128)

LCM = 48214771244640/7128

LCM = 6764137380

Thus, we can understand that the LCM of 396,715,441,558,692 is 6764137380.

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

• LCM of 907, 988, 525, 614, 748
• LCM of 540, 464, 766, 532, 170
• LCM of 271, 645, 368, 721, 659
• LCM of 291, 241, 802, 952, 733
• LCM of 905, 165, 977, 940, 506

1. What is the LCM of 396, 715, 441, 558, 692?

Answer: LCM of 396, 715, 441, 558, 692 is 6764137380.

2. How to calculate the LCM of 396, 715, 441, 558, 692?

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 396, 715, 441, 558, 692.

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}.