Given numbers are 493,327,545,289

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

The LCM of 493,327,545,289 is 13702935.

Find LCM of 493,327,545,289 with Prime Factorization

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

17 x 109 x 29 x 3 x 5 x 17 = 13702935

Therefore, the lowest common multiple of 493,327,545,289 is 13702935.

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.

493 x 327 x 545 x 289 = 25391538555

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.

493 : 1, 17, 29, 493

327 : 1, 3, 109, 327

545 : 1, 5, 109, 545

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,327,545,289, is 1.

Now, the common factors can be found like this.

493:17x 29

327:3x 109

545:5x 109

289:17x 17

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

17x 109 = 1853

Therefore, the value for common factors is 1853.

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 = 25391538555/(1x1853)

LCM = 25391538555/1853

LCM = 13702935

Thus, we can understand that the LCM of 493,327,545,289 is 13702935.

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

• LCM of 391, 663, 773, 229
• LCM of 825, 844, 341, 582
• LCM of 439, 619, 149, 584
• LCM of 610, 694, 402, 571
• LCM of 423, 459, 882, 744

1. What is the LCM of 493, 327, 545, 289?

Answer: LCM of 493, 327, 545, 289 is 13702935.

2. How to calculate the LCM of 493, 327, 545, 289?

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 493, 327, 545, 289.

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}.