Given numbers are 290,746,808,414

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

The LCM of 290,746,808,414 is 9046040760.

Find LCM of 290,746,808,414 with Prime Factorization

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

2 x 145 x 373 x 404 x 207 = 9046040760

Therefore, the lowest common multiple of 290,746,808,414 is 9046040760.

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.

290 x 746 x 808 x 414 = 72368326080

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

746 : 1, 2, 373, 746

808 : 1, 2, 4, 8, 101, 202, 404, 808

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,746,808,414, is 2.

Now, the common factors can be found like this.

290:2x 5x 29

746:2x 373

808:2x 2x 2x 101

414:2x 3x 3x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 72368326080/(2x4)

LCM = 72368326080/8

LCM = 9046040760

Thus, we can understand that the LCM of 290,746,808,414 is 9046040760.

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

• LCM of 117, 952, 634, 237
• LCM of 617, 979, 833, 592
• LCM of 830, 732, 900, 180
• LCM of 537, 780, 904, 860
• LCM of 307, 381, 966, 640

1. What is the LCM of 290, 746, 808, 414?

Answer: LCM of 290, 746, 808, 414 is 9046040760.

2. How to calculate the LCM of 290, 746, 808, 414?

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 290, 746, 808, 414.

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}.