Given numbers are 213,233,351

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

The LCM of 213,233,351 is 5806593.

Find LCM of 213,233,351 with Prime Factorization

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

3 x 71 x 233 x 117 = 5806593

Therefore, the lowest common multiple of 213,233,351 is 5806593.

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 233 x 351 = 17419779

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

233 : 1, 233

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,233,351, is 1.

Now, the common factors can be found like this.

213:3x 71

233:233

351:3x 3x 3x 13

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

3 = 3

Therefore, the value for common factors is 3.

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 = 17419779/(1x3)

LCM = 17419779/3

LCM = 5806593

Thus, we can understand that the LCM of 213,233,351 is 5806593.

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

• LCM of 549, 551, 728
• LCM of 537, 451, 940
• LCM of 416, 280, 571
• LCM of 142, 801, 339
• LCM of 826, 319, 435

1. What is the LCM of 213, 233, 351?

Answer: LCM of 213, 233, 351 is 5806593.

2. How to calculate the LCM of 213, 233, 351?

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, 233, 351.

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}.