Given numbers are 138,489,864,492

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

The LCM of 138,489,864,492 is 132804576.

Find LCM of 138,489,864,492 with Prime Factorization

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

2 x 2 x 3 x 23 x 163 x 72 x 41 = 132804576

Therefore, the lowest common multiple of 138,489,864,492 is 132804576.

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.

138 x 489 x 864 x 492 = 28685788416

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

489 : 1, 3, 163, 489

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

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,489,864,492, is 3.

Now, the common factors can be found like this.

138:2x 3x 23

489:3x 163

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

492:2x 2x 3x 41

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 3 = 72

Therefore, the value for common factors is 72.

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 = 28685788416/(3x72)

LCM = 28685788416/216

LCM = 132804576

Thus, we can understand that the LCM of 138,489,864,492 is 132804576.

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

• LCM of 816, 794, 925, 967
• LCM of 403, 117, 658, 605
• LCM of 123, 928, 503, 245
• LCM of 648, 835, 527, 312
• LCM of 567, 476, 252, 505

1. What is the LCM of 138, 489, 864, 492?

Answer: LCM of 138, 489, 864, 492 is 132804576.

2. How to calculate the LCM of 138, 489, 864, 492?

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 138, 489, 864, 492.

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}.