Given numbers are 288,905,213

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

The LCM of 288,905,213 is 18505440.

Find LCM of 288,905,213 with Prime Factorization

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

3 x 96 x 905 x 71 = 18505440

Therefore, the lowest common multiple of 288,905,213 is 18505440.

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.

288 x 905 x 213 = 55516320

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

905 : 1, 5, 181, 905

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,905,213, is 1.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

905:5x 181

213:3x 71

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 = 55516320/(1x3)

LCM = 55516320/3

LCM = 18505440

Thus, we can understand that the LCM of 288,905,213 is 18505440.

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

• LCM of 420, 180, 968
• LCM of 207, 146, 839
• LCM of 540, 688, 815
• LCM of 182, 629, 994
• LCM of 575, 845, 402

1. What is the LCM of 288, 905, 213?

Answer: LCM of 288, 905, 213 is 18505440.

2. How to calculate the LCM of 288, 905, 213?

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 288, 905, 213.

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}.