Given numbers are 864,136,408,502

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

The LCM of 864,136,408,502 is 3686688.

Find LCM of 864,136,408,502 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 36 x 1 x 1 x 251 = 3686688

Therefore, the lowest common multiple of 864,136,408,502 is 3686688.

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.

864 x 136 x 408 x 502 = 24066699264

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.

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

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

502 : 1, 2, 251, 502

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,136,408,502, is 2.

Now, the common factors can be found like this.

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

136:2x 2x 2x 17

408:2x 2x 2x 3x 17

502:2x 251

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 2x 3x 17 = 3264

Therefore, the value for common factors is 3264.

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 = 24066699264/(2x3264)

LCM = 24066699264/6528

LCM = 3686688

Thus, we can understand that the LCM of 864,136,408,502 is 3686688.

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

• LCM of 270, 650, 338, 807
• LCM of 787, 369, 569, 351
• LCM of 646, 387, 722, 861
• LCM of 410, 811, 588, 190
• LCM of 505, 783, 693, 578

1. What is the LCM of 864, 136, 408, 502?

Answer: LCM of 864, 136, 408, 502 is 3686688.

2. How to calculate the LCM of 864, 136, 408, 502?

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 864, 136, 408, 502.

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}.