Given numbers are 406,338,684,812,974

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

The LCM of 406,338,684,812,974 is 11427936156.

Find LCM of 406,338,684,812,974 with Prime Factorization

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

2 x 2 x 7 x 29 x 1 x 169 x 171 x 1 x 487 = 11427936156

Therefore, the lowest common multiple of 406,338,684,812,974 is 11427936156.

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 338 x 684 x 812 x 974 = 74235873269376

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

338 : 1, 2, 13, 26, 169, 338

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,338,684,812,974, is 2.

Now, the common factors can be found like this.

406:2x 7x 29

338:2x 13x 13

684:2x 2x 3x 3x 19

812:2x 2x 7x 29

974:2x 487

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 7x 29 = 3248

Therefore, the value for common factors is 3248.

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 = 74235873269376/(2x3248)

LCM = 74235873269376/6496

LCM = 11427936156

Thus, we can understand that the LCM of 406,338,684,812,974 is 11427936156.

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

• LCM of 910, 525, 860, 700, 635
• LCM of 316, 802, 452, 534, 666
• LCM of 326, 428, 933, 442, 958
• LCM of 514, 607, 816, 650, 571
• LCM of 298, 201, 474, 449, 312

1. What is the LCM of 406, 338, 684, 812, 974?

Answer: LCM of 406, 338, 684, 812, 974 is 11427936156.

2. How to calculate the LCM of 406, 338, 684, 812, 974?

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, 338, 684, 812, 974.

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}.