Given numbers are 284,221,493

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

The LCM of 284,221,493 is 1820156.

Find LCM of 284,221,493 with Prime Factorization

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

17 x 284 x 13 x 29 = 1820156

Therefore, the lowest common multiple of 284,221,493 is 1820156.

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.

284 x 221 x 493 = 30942652

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.

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

221 : 1, 13, 17, 221

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,221,493, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

221:13x 17

493:17x 29

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

17 = 17

Therefore, the value for common factors is 17.

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 = 30942652/(1x17)

LCM = 30942652/17

LCM = 1820156

Thus, we can understand that the LCM of 284,221,493 is 1820156.

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

• LCM of 552, 863, 744
• LCM of 821, 637, 524
• LCM of 118, 875, 397
• LCM of 723, 551, 994
• LCM of 633, 588, 393

1. What is the LCM of 284, 221, 493?

Answer: LCM of 284, 221, 493 is 1820156.

2. How to calculate the LCM of 284, 221, 493?

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 284, 221, 493.

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}.