Given numbers are 288,158,869,261,201

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

The LCM of 288,158,869,261,201 is 486278496.

Find LCM of 288,158,869,261,201 with Prime Factorization

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

2 x 3 x 3 x 79 x 16 x 1 x 11 x 29 x 67 = 486278496

Therefore, the lowest common multiple of 288,158,869,261,201 is 486278496.

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 158 x 869 x 261 x 201 = 2074464063936

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

158 : 1, 2, 79, 158

869 : 1, 11, 79, 869

261 : 1, 3, 9, 29, 87, 261

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,158,869,261,201, is 1.

Now, the common factors can be found like this.

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

158:2x 79

869:11x 79

261:3x 3x 29

201:3x 67

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

2x 3x 3x 3x 79 = 4266

Therefore, the value for common factors is 4266.

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 = 2074464063936/(1x4266)

LCM = 2074464063936/4266

LCM = 486278496

Thus, we can understand that the LCM of 288,158,869,261,201 is 486278496.

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

• LCM of 956, 921, 307, 815, 929
• LCM of 854, 763, 319, 933, 380
• LCM of 755, 801, 844, 285, 175
• LCM of 154, 115, 962, 116, 704
• LCM of 159, 382, 466, 153, 319

1. What is the LCM of 288, 158, 869, 261, 201?

Answer: LCM of 288, 158, 869, 261, 201 is 486278496.

2. How to calculate the LCM of 288, 158, 869, 261, 201?

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, 158, 869, 261, 201.

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}.