Given numbers are 449,319,408,366

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

The LCM of 449,319,408,366 is 3564733128.

Find LCM of 449,319,408,366 with Prime Factorization

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

2 x 3 x 449 x 319 x 68 x 61 = 3564733128

Therefore, the lowest common multiple of 449,319,408,366 is 3564733128.

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.

449 x 319 x 408 x 366 = 21388398768

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.

449 : 1, 449

319 : 1, 11, 29, 319

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,319,408,366, is 1.

Now, the common factors can be found like this.

449:449

319:11x 29

408:2x 2x 2x 3x 17

366:2x 3x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 21388398768/(1x6)

LCM = 21388398768/6

LCM = 3564733128

Thus, we can understand that the LCM of 449,319,408,366 is 3564733128.

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

• LCM of 141, 960, 968, 179
• LCM of 601, 137, 651, 869
• LCM of 320, 776, 508, 897
• LCM of 964, 442, 454, 346
• LCM of 391, 794, 267, 962

1. What is the LCM of 449, 319, 408, 366?

Answer: LCM of 449, 319, 408, 366 is 3564733128.

2. How to calculate the LCM of 449, 319, 408, 366?

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 449, 319, 408, 366.

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}.