Given numbers are 135,204,571,832,854

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

The LCM of 135,204,571,832,854 is 465553932480.

Find LCM of 135,204,571,832,854 with Prime Factorization

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

2 x 2 x 3 x 45 x 17 x 571 x 208 x 427 = 465553932480

Therefore, the lowest common multiple of 135,204,571,832,854 is 465553932480.

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.

135 x 204 x 571 x 832 x 854 = 11173294379520

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

571 : 1, 571

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,204,571,832,854, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

204:2x 2x 3x 17

571:571

832:2x 2x 2x 2x 2x 2x 13

854:2x 7x 61

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 3 = 24

Therefore, the value for common factors is 24.

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 = 11173294379520/(1x24)

LCM = 11173294379520/24

LCM = 465553932480

Thus, we can understand that the LCM of 135,204,571,832,854 is 465553932480.

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

• LCM of 497, 760, 109, 639, 619
• LCM of 653, 800, 654, 512, 924
• LCM of 499, 626, 792, 366, 668
• LCM of 520, 936, 589, 878, 927
• LCM of 362, 326, 223, 280, 259

1. What is the LCM of 135, 204, 571, 832, 854?

Answer: LCM of 135, 204, 571, 832, 854 is 465553932480.

2. How to calculate the LCM of 135, 204, 571, 832, 854?

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 135, 204, 571, 832, 854.

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}.