Given numbers are 322,584,392,497

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

The LCM of 322,584,392,497 is 46729928.

Find LCM of 322,584,392,497 with Prime Factorization

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

2 x 2 x 2 x 7 x 23 x 73 x 7 x 71 = 46729928

Therefore, the lowest common multiple of 322,584,392,497 is 46729928.

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.

322 x 584 x 392 x 497 = 36636263552

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.

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

584 : 1, 2, 4, 8, 73, 146, 292, 584

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,584,392,497, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

584:2x 2x 2x 73

392:2x 2x 2x 7x 7

497:7x 71

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 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 36636263552/(1x784)

LCM = 36636263552/784

LCM = 46729928

Thus, we can understand that the LCM of 322,584,392,497 is 46729928.

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

• LCM of 598, 184, 397, 366
• LCM of 148, 195, 587, 916
• LCM of 557, 614, 571, 975
• LCM of 101, 120, 275, 535
• LCM of 164, 371, 173, 800

1. What is the LCM of 322, 584, 392, 497?

Answer: LCM of 322, 584, 392, 497 is 46729928.

2. How to calculate the LCM of 322, 584, 392, 497?

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 322, 584, 392, 497.

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}.