Given numbers are 242,225,201,224

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

The LCM of 242,225,201,224 is 408592800.

Find LCM of 242,225,201,224 with Prime Factorization

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

2 x 3 x 121 x 75 x 67 x 112 = 408592800

Therefore, the lowest common multiple of 242,225,201,224 is 408592800.

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.

242 x 225 x 201 x 224 = 2451556800

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.

242 : 1, 2, 11, 22, 121, 242

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

201 : 1, 3, 67, 201

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,225,201,224, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

225:3x 3x 5x 5

201:3x 67

224:2x 2x 2x 2x 2x 7

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 2451556800/(1x6)

LCM = 2451556800/6

LCM = 408592800

Thus, we can understand that the LCM of 242,225,201,224 is 408592800.

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

• LCM of 401, 374, 592, 750
• LCM of 333, 711, 793, 463
• LCM of 994, 963, 765, 294
• LCM of 998, 434, 190, 759
• LCM of 311, 521, 702, 409

1. What is the LCM of 242, 225, 201, 224?

Answer: LCM of 242, 225, 201, 224 is 408592800.

2. How to calculate the LCM of 242, 225, 201, 224?

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 242, 225, 201, 224.

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}.