Given numbers are 470,322,449,414

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

The LCM of 470,322,449,414 is 305782470.

Find LCM of 470,322,449,414 with Prime Factorization

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

2 x 23 x 235 x 7 x 449 x 9 = 305782470

Therefore, the lowest common multiple of 470,322,449,414 is 305782470.

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.

470 x 322 x 449 x 414 = 28131987240

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.

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

322 : 1, 2, 7, 14, 23, 46, 161, 322

449 : 1, 449

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,322,449,414, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

322:2x 7x 23

449:449

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 2x 23 = 92

Therefore, the value for common factors is 92.

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 = 28131987240/(1x92)

LCM = 28131987240/92

LCM = 305782470

Thus, we can understand that the LCM of 470,322,449,414 is 305782470.

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

• LCM of 103, 170, 171, 556
• LCM of 457, 547, 845, 404
• LCM of 661, 419, 571, 782
• LCM of 210, 173, 342, 315
• LCM of 153, 956, 671, 159

1. What is the LCM of 470, 322, 449, 414?

Answer: LCM of 470, 322, 449, 414 is 305782470.

2. How to calculate the LCM of 470, 322, 449, 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 470, 322, 449, 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}.