Given numbers are 864,202,809,700,164

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

The LCM of 864,202,809,700,164 is 506530432800.

Find LCM of 864,202,809,700,164 with Prime Factorization

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

2 x 2 x 216 x 101 x 809 x 175 x 41 = 506530432800

Therefore, the lowest common multiple of 864,202,809,700,164 is 506530432800.

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 202 x 809 x 700 x 164 = 16208973849600

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

202 : 1, 2, 101, 202

809 : 1, 809

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,202,809,700,164, is 1.

Now, the common factors can be found like this.

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

202:2x 101

809:809

700:2x 2x 5x 5x 7

164:2x 2x 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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 16208973849600/(1x32)

LCM = 16208973849600/32

LCM = 506530432800

Thus, we can understand that the LCM of 864,202,809,700,164 is 506530432800.

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

• LCM of 358, 415, 554, 213, 662
• LCM of 794, 437, 274, 729, 294
• LCM of 379, 384, 126, 497, 952
• LCM of 167, 460, 756, 196, 161
• LCM of 947, 374, 310, 438, 315

1. What is the LCM of 864, 202, 809, 700, 164?

Answer: LCM of 864, 202, 809, 700, 164 is 506530432800.

2. How to calculate the LCM of 864, 202, 809, 700, 164?

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, 202, 809, 700, 164.

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}.