Given numbers are 213,218,238

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

The LCM of 213,218,238 is 5525646.

Find LCM of 213,218,238 with Prime Factorization

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

2 x 213 x 109 x 119 = 5525646

Therefore, the lowest common multiple of 213,218,238 is 5525646.

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 218 x 238 = 11051292

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

218 : 1, 2, 109, 218

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,218,238, is 1.

Now, the common factors can be found like this.

213:3x 71

218:2x 109

238:2x 7x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 11051292/(1x2)

LCM = 11051292/2

LCM = 5525646

Thus, we can understand that the LCM of 213,218,238 is 5525646.

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

• LCM of 405, 389, 295
• LCM of 195, 762, 728
• LCM of 395, 240, 729
• LCM of 922, 825, 456
• LCM of 542, 822, 886

1. What is the LCM of 213, 218, 238?

Answer: LCM of 213, 218, 238 is 5525646.

2. How to calculate the LCM of 213, 218, 238?

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, 218, 238.

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}.