Given numbers are 493,668,289,221

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

The LCM of 493,668,289,221 is 72780604.

Find LCM of 493,668,289,221 with Prime Factorization

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

17 x 29 x 668 x 17 x 13 = 72780604

Therefore, the lowest common multiple of 493,668,289,221 is 72780604.

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 668 x 289 x 221 = 21033594556

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

668 : 1, 2, 4, 167, 334, 668

289 : 1, 17, 289

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,668,289,221, is 1.

Now, the common factors can be found like this.

493:17x 29

668:2x 2x 167

289:17x 17

221:13x 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 17 = 289

Therefore, the value for common factors is 289.

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 = 21033594556/(1x289)

LCM = 21033594556/289

LCM = 72780604

Thus, we can understand that the LCM of 493,668,289,221 is 72780604.

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

• LCM of 311, 309, 868, 102
• LCM of 425, 682, 212, 657
• LCM of 313, 683, 136, 965
• LCM of 380, 466, 320, 806
• LCM of 972, 861, 322, 861

1. What is the LCM of 493, 668, 289, 221?

Answer: LCM of 493, 668, 289, 221 is 72780604.

2. How to calculate the LCM of 493, 668, 289, 221?

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, 668, 289, 221.

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}.