Given numbers are 817,190,214,652

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

The LCM of 817,190,214,652 is 284985940.

Find LCM of 817,190,214,652 with Prime Factorization

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

2 x 19 x 43 x 5 x 107 x 326 = 284985940

Therefore, the lowest common multiple of 817,190,214,652 is 284985940.

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.

817 x 190 x 214 x 652 = 21658931440

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.

817 : 1, 19, 43, 817

190 : 1, 2, 5, 10, 19, 38, 95, 190

214 : 1, 2, 107, 214

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,190,214,652, is 1.

Now, the common factors can be found like this.

817:19x 43

190:2x 5x 19

214:2x 107

652:2x 2x 163

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 19 = 76

Therefore, the value for common factors is 76.

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 = 21658931440/(1x76)

LCM = 21658931440/76

LCM = 284985940

Thus, we can understand that the LCM of 817,190,214,652 is 284985940.

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

• LCM of 656, 870, 128, 382
• LCM of 861, 122, 197, 968
• LCM of 632, 571, 731, 662
• LCM of 437, 216, 391, 418
• LCM of 438, 941, 437, 650

1. What is the LCM of 817, 190, 214, 652?

Answer: LCM of 817, 190, 214, 652 is 284985940.

2. How to calculate the LCM of 817, 190, 214, 652?

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 817, 190, 214, 652.

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}.