Given numbers are 406,420,806,418

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

The LCM of 406,420,806,418 is 1025884860.

Find LCM of 406,420,806,418 with Prime Factorization

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

2 x 7 x 29 x 30 x 403 x 209 = 1025884860

Therefore, the lowest common multiple of 406,420,806,418 is 1025884860.

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 420 x 806 x 418 = 57449552160

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

806 : 1, 2, 13, 26, 31, 62, 403, 806

418 : 1, 2, 11, 19, 22, 38, 209, 418

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,420,806,418, is 2.

Now, the common factors can be found like this.

406:2x 7x 29

420:2x 2x 3x 5x 7

806:2x 13x 31

418:2x 11x 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 7 = 28

Therefore, the value for common factors is 28.

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 = 57449552160/(2x28)

LCM = 57449552160/56

LCM = 1025884860

Thus, we can understand that the LCM of 406,420,806,418 is 1025884860.

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

• LCM of 204, 162, 800, 877
• LCM of 983, 260, 511, 298
• LCM of 645, 613, 264, 769
• LCM of 283, 336, 456, 900
• LCM of 343, 340, 271, 513

1. What is the LCM of 406, 420, 806, 418?

Answer: LCM of 406, 420, 806, 418 is 1025884860.

2. How to calculate the LCM of 406, 420, 806, 418?

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, 420, 806, 418.

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}.