Given numbers are 449,428,816

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

The LCM of 449,428,816 is 39203088.

Find LCM of 449,428,816 with Prime Factorization

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

2 x 2 x 449 x 107 x 204 = 39203088

Therefore, the lowest common multiple of 449,428,816 is 39203088.

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 428 x 816 = 156812352

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

428 : 1, 2, 4, 107, 214, 428

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,428,816, is 1.

Now, the common factors can be found like this.

449:449

428:2x 2x 107

816:2x 2x 2x 2x 3x 17

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 = 156812352/(1x4)

LCM = 156812352/4

LCM = 39203088

Thus, we can understand that the LCM of 449,428,816 is 39203088.

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

• LCM of 298, 703, 612
• LCM of 361, 989, 477
• LCM of 292, 324, 393
• LCM of 783, 514, 790
• LCM of 814, 865, 738

1. What is the LCM of 449, 428, 816?

Answer: LCM of 449, 428, 816 is 39203088.

2. How to calculate the LCM of 449, 428, 816?

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, 428, 816.

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}.