Given numbers are 440,470,717,396,298

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

The LCM of 440,470,717,396,298 is 6627919320.

Find LCM of 440,470,717,396,298 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 2 x 47 x 239 x 3 x 149 = 6627919320

Therefore, the lowest common multiple of 440,470,717,396,298 is 6627919320.

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.

440 x 470 x 717 x 396 x 298 = 17497707004800

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

470 : 1, 2, 5, 10, 47, 94, 235, 470

717 : 1, 3, 239, 717

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

298 : 1, 2, 149, 298

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,470,717,396,298, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

470:2x 5x 47

717:3x 239

396:2x 2x 3x 3x 11

298:2x 149

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 3x 5x 11 = 2640

Therefore, the value for common factors is 2640.

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 = 17497707004800/(1x2640)

LCM = 17497707004800/2640

LCM = 6627919320

Thus, we can understand that the LCM of 440,470,717,396,298 is 6627919320.

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

• LCM of 527, 460, 143, 189, 301
• LCM of 188, 592, 662, 557, 249
• LCM of 418, 540, 741, 149, 542
• LCM of 678, 208, 848, 287, 720
• LCM of 741, 522, 521, 755, 242

1. What is the LCM of 440, 470, 717, 396, 298?

Answer: LCM of 440, 470, 717, 396, 298 is 6627919320.

2. How to calculate the LCM of 440, 470, 717, 396, 298?

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 440, 470, 717, 396, 298.

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}.