Given numbers are 437,756,966,217,663

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

The LCM of 437,756,966,217,663 is 2263378572.

Find LCM of 437,756,966,217,663 with Prime Factorization

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

2 x 3 x 7 x 23 x 19 x 18 x 1 x 31 x 221 = 2263378572

Therefore, the lowest common multiple of 437,756,966,217,663 is 2263378572.

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.

437 x 756 x 966 x 217 x 663 = 45914897711592

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.

437 : 1, 19, 23, 437

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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

217 : 1, 7, 31, 217

663 : 1, 3, 13, 17, 39, 51, 221, 663

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,756,966,217,663, is 1.

Now, the common factors can be found like this.

437:19x 23

756:2x 2x 3x 3x 3x 7

966:2x 3x 7x 23

217:7x 31

663:3x 13x 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 3x 3x 7x 7x 23 = 20286

Therefore, the value for common factors is 20286.

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 = 45914897711592/(1x20286)

LCM = 45914897711592/20286

LCM = 2263378572

Thus, we can understand that the LCM of 437,756,966,217,663 is 2263378572.

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

• LCM of 855, 714, 361, 186, 740
• LCM of 681, 333, 244, 872, 967
• LCM of 715, 677, 514, 324, 649
• LCM of 643, 511, 391, 819, 482
• LCM of 702, 978, 455, 764, 964

1. What is the LCM of 437, 756, 966, 217, 663?

Answer: LCM of 437, 756, 966, 217, 663 is 2263378572.

2. How to calculate the LCM of 437, 756, 966, 217, 663?

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 437, 756, 966, 217, 663.

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}.