Given numbers are 976,173,609,198,816

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

The LCM of 976,173,609,198,816 is 57686750352.

Find LCM of 976,173,609,198,816 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 61 x 173 x 203 x 33 x 17 = 57686750352

Therefore, the lowest common multiple of 976,173,609,198,816 is 57686750352.

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.

976 x 173 x 609 x 198 x 816 = 16613784101376

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.

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

173 : 1, 173

609 : 1, 3, 7, 21, 29, 87, 203, 609

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,173,609,198,816, is 1.

Now, the common factors can be found like this.

976:2x 2x 2x 2x 61

173:173

609:3x 7x 29

198:2x 3x 3x 11

816:2x 2x 2x 2x 3x 17

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 16613784101376/(1x288)

LCM = 16613784101376/288

LCM = 57686750352

Thus, we can understand that the LCM of 976,173,609,198,816 is 57686750352.

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

• LCM of 489, 301, 501, 479, 499
• LCM of 521, 114, 108, 435, 606
• LCM of 754, 163, 666, 446, 137
• LCM of 370, 392, 457, 451, 627
• LCM of 936, 355, 507, 979, 127

1. What is the LCM of 976, 173, 609, 198, 816?

Answer: LCM of 976, 173, 609, 198, 816 is 57686750352.

2. How to calculate the LCM of 976, 173, 609, 198, 816?

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 976, 173, 609, 198, 816.

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}.