Given numbers are 396,756,408,142,659

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

The LCM of 396,756,408,142,659 is 13229309016.

Find LCM of 396,756,408,142,659 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 21 x 34 x 71 x 659 = 13229309016

Therefore, the lowest common multiple of 396,756,408,142,659 is 13229309016.

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 756 x 408 x 142 x 659 = 11430122989824

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

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

142 : 1, 2, 71, 142

659 : 1, 659

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,756,408,142,659, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

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

408:2x 2x 2x 3x 17

142:2x 71

659:659

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 3 = 864

Therefore, the value for common factors is 864.

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 = 11430122989824/(1x864)

LCM = 11430122989824/864

LCM = 13229309016

Thus, we can understand that the LCM of 396,756,408,142,659 is 13229309016.

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

• LCM of 621, 913, 287, 142, 307
• LCM of 842, 328, 499, 707, 300
• LCM of 790, 204, 780, 843, 959
• LCM of 962, 754, 772, 265, 360
• LCM of 737, 140, 849, 920, 632

1. What is the LCM of 396, 756, 408, 142, 659?

Answer: LCM of 396, 756, 408, 142, 659 is 13229309016.

2. How to calculate the LCM of 396, 756, 408, 142, 659?

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, 756, 408, 142, 659.

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}.