Given numbers are 493,493,698,635

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

The LCM of 493,493,698,635 is 218512390.

Find LCM of 493,493,698,635 with Prime Factorization

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

17 x 29 x 1 x 1 x 698 x 635 = 218512390

Therefore, the lowest common multiple of 493,493,698,635 is 218512390.

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 493 x 698 x 635 = 107726608270

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

493 : 1, 17, 29, 493

698 : 1, 2, 349, 698

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,493,698,635, is 1.

Now, the common factors can be found like this.

493:17x 29

493:17x 29

698:2x 349

635:5x 127

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

17x 29 = 493

Therefore, the value for common factors is 493.

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 = 107726608270/(1x493)

LCM = 107726608270/493

LCM = 218512390

Thus, we can understand that the LCM of 493,493,698,635 is 218512390.

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

• LCM of 905, 293, 355, 245
• LCM of 688, 476, 994, 376
• LCM of 695, 135, 160, 367
• LCM of 562, 777, 189, 570
• LCM of 979, 165, 278, 134

1. What is the LCM of 493, 493, 698, 635?

Answer: LCM of 493, 493, 698, 635 is 218512390.

2. How to calculate the LCM of 493, 493, 698, 635?

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, 493, 698, 635.

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}.