Given numbers are 578,344,509,494

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

The LCM of 578,344,509,494 is 12498877768.

Find LCM of 578,344,509,494 with Prime Factorization

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

2 x 289 x 172 x 509 x 247 = 12498877768

Therefore, the lowest common multiple of 578,344,509,494 is 12498877768.

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.

578 x 344 x 509 x 494 = 49995511072

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.

578 : 1, 2, 17, 34, 289, 578

344 : 1, 2, 4, 8, 43, 86, 172, 344

509 : 1, 509

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,344,509,494, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

344:2x 2x 2x 43

509:509

494:2x 13x 19

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 = 49995511072/(1x4)

LCM = 49995511072/4

LCM = 12498877768

Thus, we can understand that the LCM of 578,344,509,494 is 12498877768.

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

• LCM of 322, 255, 299, 241
• LCM of 933, 762, 208, 745
• LCM of 282, 927, 611, 848
• LCM of 377, 538, 452, 121
• LCM of 706, 231, 600, 218

1. What is the LCM of 578, 344, 509, 494?

Answer: LCM of 578, 344, 509, 494 is 12498877768.

2. How to calculate the LCM of 578, 344, 509, 494?

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 578, 344, 509, 494.

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}.