Given numbers are 227,215,258,208

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

The LCM of 227,215,258,208 is 30454320.

Find LCM of 227,215,258,208 with Prime Factorization

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

2 x 43 x 227 x 5 x 3 x 104 = 30454320

Therefore, the lowest common multiple of 227,215,258,208 is 30454320.

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.

227 x 215 x 258 x 208 = 2619071520

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.

227 : 1, 227

215 : 1, 5, 43, 215

258 : 1, 2, 3, 6, 43, 86, 129, 258

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,215,258,208, is 1.

Now, the common factors can be found like this.

227:227

215:5x 43

258:2x 3x 43

208:2x 2x 2x 2x 13

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

2x 43 = 86

Therefore, the value for common factors is 86.

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 = 2619071520/(1x86)

LCM = 2619071520/86

LCM = 30454320

Thus, we can understand that the LCM of 227,215,258,208 is 30454320.

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

• LCM of 173, 556, 800, 991
• LCM of 190, 153, 474, 763
• LCM of 170, 656, 192, 230
• LCM of 297, 978, 843, 985
• LCM of 690, 488, 619, 758

1. What is the LCM of 227, 215, 258, 208?

Answer: LCM of 227, 215, 258, 208 is 30454320.

2. How to calculate the LCM of 227, 215, 258, 208?

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 227, 215, 258, 208.

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}.