Given numbers are 366,126,312,397

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

The LCM of 366,126,312,397 is 158669784.

Find LCM of 366,126,312,397 with Prime Factorization

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

2 x 3 x 61 x 21 x 52 x 397 = 158669784

Therefore, the lowest common multiple of 366,126,312,397 is 158669784.

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.

366 x 126 x 312 x 397 = 5712112224

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.

366 : 1, 2, 3, 6, 61, 122, 183, 366

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,126,312,397, is 1.

Now, the common factors can be found like this.

366:2x 3x 61

126:2x 3x 3x 7

312:2x 2x 2x 3x 13

397:397

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 5712112224/(1x36)

LCM = 5712112224/36

LCM = 158669784

Thus, we can understand that the LCM of 366,126,312,397 is 158669784.

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

• LCM of 877, 122, 870, 878
• LCM of 146, 765, 123, 748
• LCM of 902, 807, 522, 108
• LCM of 384, 682, 703, 517
• LCM of 103, 352, 692, 928

1. What is the LCM of 366, 126, 312, 397?

Answer: LCM of 366, 126, 312, 397 is 158669784.

2. How to calculate the LCM of 366, 126, 312, 397?

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 366, 126, 312, 397.

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}.