Given numbers are 349,248,576,447

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

The LCM of 349,248,576,447 is 928529856.

Find LCM of 349,248,576,447 with Prime Factorization

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

2 x 2 x 2 x 3 x 349 x 31 x 24 x 149 = 928529856

Therefore, the lowest common multiple of 349,248,576,447 is 928529856.

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.

349 x 248 x 576 x 447 = 22284716544

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.

349 : 1, 349

248 : 1, 2, 4, 8, 31, 62, 124, 248

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,248,576,447, is 1.

Now, the common factors can be found like this.

349:349

248:2x 2x 2x 31

576:2x 2x 2x 2x 2x 2x 3x 3

447:3x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 22284716544/(1x24)

LCM = 22284716544/24

LCM = 928529856

Thus, we can understand that the LCM of 349,248,576,447 is 928529856.

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

• LCM of 440, 851, 184, 143
• LCM of 428, 853, 978, 508
• LCM of 724, 796, 253, 491
• LCM of 200, 195, 223, 395
• LCM of 491, 885, 197, 955

1. What is the LCM of 349, 248, 576, 447?

Answer: LCM of 349, 248, 576, 447 is 928529856.

2. How to calculate the LCM of 349, 248, 576, 447?

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 349, 248, 576, 447.

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}.