Given numbers are 406,966,990,137,684

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

The LCM of 406,966,990,137,684 is 24063745860.

Find LCM of 406,966,990,137,684 with Prime Factorization

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

2 x 3 x 3 x 7 x 29 x 23 x 55 x 137 x 38 = 24063745860

Therefore, the lowest common multiple of 406,966,990,137,684 is 24063745860.

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.

406 x 966 x 990 x 137 x 684 = 36384383740320

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

137 : 1, 137

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,966,990,137,684, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

966:2x 3x 7x 23

990:2x 3x 3x 5x 11

137:137

684:2x 2x 3x 3x 19

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 3x 3x 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 36384383740320/(1x1512)

LCM = 36384383740320/1512

LCM = 24063745860

Thus, we can understand that the LCM of 406,966,990,137,684 is 24063745860.

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

• LCM of 623, 293, 910, 789, 444
• LCM of 310, 209, 622, 952, 594
• LCM of 264, 444, 835, 954, 541
• LCM of 773, 426, 683, 602, 773
• LCM of 439, 197, 170, 776, 379

1. What is the LCM of 406, 966, 990, 137, 684?

Answer: LCM of 406, 966, 990, 137, 684 is 24063745860.

2. How to calculate the LCM of 406, 966, 990, 137, 684?

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 406, 966, 990, 137, 684.

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}.