Given numbers are 213,241,585,284

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

The LCM of 213,241,585,284 is 40039740.

Find LCM of 213,241,585,284 with Prime Factorization

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

3 x 71 x 1 x 241 x 195 x 4 = 40039740

Therefore, the lowest common multiple of 213,241,585,284 is 40039740.

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.

213 x 241 x 585 x 284 = 8528464620

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.

213 : 1, 3, 71, 213

241 : 1, 241

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,241,585,284, is 1.

Now, the common factors can be found like this.

213:3x 71

241:241

585:3x 3x 5x 13

284:2x 2x 71

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

3x 71 = 213

Therefore, the value for common factors is 213.

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 = 8528464620/(1x213)

LCM = 8528464620/213

LCM = 40039740

Thus, we can understand that the LCM of 213,241,585,284 is 40039740.

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

• LCM of 799, 801, 792, 948
• LCM of 465, 257, 914, 552
• LCM of 252, 408, 585, 166
• LCM of 728, 288, 709, 633
• LCM of 590, 108, 243, 306

1. What is the LCM of 213, 241, 585, 284?

Answer: LCM of 213, 241, 585, 284 is 40039740.

2. How to calculate the LCM of 213, 241, 585, 284?

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 213, 241, 585, 284.

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}.