Given numbers are 493,568,905,213

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

The LCM of 493,568,905,213 is 760265160.

Find LCM of 493,568,905,213 with Prime Factorization

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

71 x 493 x 8 x 905 x 3 = 760265160

Therefore, the lowest common multiple of 493,568,905,213 is 760265160.

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 568 x 905 x 213 = 53978826360

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

568 : 1, 2, 4, 8, 71, 142, 284, 568

905 : 1, 5, 181, 905

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,568,905,213, is 1.

Now, the common factors can be found like this.

493:17x 29

568:2x 2x 2x 71

905:5x 181

213:3x 71

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

71 = 71

Therefore, the value for common factors is 71.

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 = 53978826360/(1x71)

LCM = 53978826360/71

LCM = 760265160

Thus, we can understand that the LCM of 493,568,905,213 is 760265160.

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

• LCM of 789, 384, 598, 255
• LCM of 982, 197, 552, 475
• LCM of 972, 617, 936, 720
• LCM of 729, 555, 400, 416
• LCM of 445, 727, 224, 902

1. What is the LCM of 493, 568, 905, 213?

Answer: LCM of 493, 568, 905, 213 is 760265160.

2. How to calculate the LCM of 493, 568, 905, 213?

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, 568, 905, 213.

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}.