Given numbers are 221,506,288

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

The LCM of 221,506,288 is 16102944.

Find LCM of 221,506,288 with Prime Factorization

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

2 x 221 x 253 x 144 = 16102944

Therefore, the lowest common multiple of 221,506,288 is 16102944.

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.

221 x 506 x 288 = 32205888

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.

221 : 1, 13, 17, 221

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,506,288, is 1.

Now, the common factors can be found like this.

221:13x 17

506:2x 11x 23

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

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 = 32205888/(1x2)

LCM = 32205888/2

LCM = 16102944

Thus, we can understand that the LCM of 221,506,288 is 16102944.

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

• LCM of 490, 402, 379
• LCM of 330, 504, 506
• LCM of 859, 102, 681
• LCM of 632, 325, 692
• LCM of 523, 588, 831

1. What is the LCM of 221, 506, 288?

Answer: LCM of 221, 506, 288 is 16102944.

2. How to calculate the LCM of 221, 506, 288?

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 221, 506, 288.

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}.