Given numbers are 102,272,405,562,158

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

The LCM of 102,272,405,562,158 is 2445441840.

Find LCM of 102,272,405,562,158 with Prime Factorization

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

2 x 3 x 17 x 1 x 8 x 135 x 281 x 79 = 2445441840

Therefore, the lowest common multiple of 102,272,405,562,158 is 2445441840.

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.

102 x 272 x 405 x 562 x 158 = 997740270720

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

562 : 1, 2, 281, 562

158 : 1, 2, 79, 158

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,272,405,562,158, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

272:2x 2x 2x 2x 17

405:3x 3x 3x 3x 5

562:2x 281

158:2x 79

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

2x 2x 2x 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 997740270720/(1x408)

LCM = 997740270720/408

LCM = 2445441840

Thus, we can understand that the LCM of 102,272,405,562,158 is 2445441840.

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

• LCM of 913, 567, 393, 705, 309
• LCM of 306, 677, 789, 480, 953
• LCM of 726, 606, 307, 340, 989
• LCM of 741, 373, 719, 442, 434
• LCM of 228, 709, 569, 993, 964

1. What is the LCM of 102, 272, 405, 562, 158?

Answer: LCM of 102, 272, 405, 562, 158 is 2445441840.

2. How to calculate the LCM of 102, 272, 405, 562, 158?

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 102, 272, 405, 562, 158.

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}.