Given numbers are 216,437,348,410,966

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

The LCM of 216,437,348,410,966 is 3928123080.

Find LCM of 216,437,348,410,966 with Prime Factorization

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

2 x 2 x 3 x 23 x 18 x 19 x 29 x 205 x 7 = 3928123080

Therefore, the lowest common multiple of 216,437,348,410,966 is 3928123080.

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.

216 x 437 x 348 x 410 x 966 = 13009943640960

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.

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

437 : 1, 19, 23, 437

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

410 : 1, 2, 5, 10, 41, 82, 205, 410

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,437,348,410,966, is 1.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

437:19x 23

348:2x 2x 3x 29

410:2x 5x 41

966:2x 3x 7x 23

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 3x 3x 23 = 3312

Therefore, the value for common factors is 3312.

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 = 13009943640960/(1x3312)

LCM = 13009943640960/3312

LCM = 3928123080

Thus, we can understand that the LCM of 216,437,348,410,966 is 3928123080.

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

• LCM of 870, 957, 278, 366, 991
• LCM of 218, 691, 189, 357, 947
• LCM of 629, 400, 286, 653, 925
• LCM of 166, 404, 832, 568, 129
• LCM of 915, 990, 609, 567, 402

1. What is the LCM of 216, 437, 348, 410, 966?

Answer: LCM of 216, 437, 348, 410, 966 is 3928123080.

2. How to calculate the LCM of 216, 437, 348, 410, 966?

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 216, 437, 348, 410, 966.

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}.