Given numbers are 232,456,814,201,608

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

The LCM of 232,456,814,201,608 is 1442421024.

Find LCM of 232,456,814,201,608 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 29 x 1 x 407 x 67 x 4 = 1442421024

Therefore, the lowest common multiple of 232,456,814,201,608 is 1442421024.

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.

232 x 456 x 814 x 201 x 608 = 10523903791104

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.

232 : 1, 2, 4, 8, 29, 58, 116, 232

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

814 : 1, 2, 11, 22, 37, 74, 407, 814

201 : 1, 3, 67, 201

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,456,814,201,608, is 1.

Now, the common factors can be found like this.

232:2x 2x 2x 29

456:2x 2x 2x 3x 19

814:2x 11x 37

201:3x 67

608:2x 2x 2x 2x 2x 19

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 2x 2x 2x 2x 3x 19 = 7296

Therefore, the value for common factors is 7296.

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 = 10523903791104/(1x7296)

LCM = 10523903791104/7296

LCM = 1442421024

Thus, we can understand that the LCM of 232,456,814,201,608 is 1442421024.

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

• LCM of 483, 182, 579, 865, 670
• LCM of 218, 185, 527, 704, 767
• LCM of 456, 148, 491, 249, 154
• LCM of 198, 183, 746, 168, 758
• LCM of 512, 740, 781, 933, 343

1. What is the LCM of 232, 456, 814, 201, 608?

Answer: LCM of 232, 456, 814, 201, 608 is 1442421024.

2. How to calculate the LCM of 232, 456, 814, 201, 608?

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 232, 456, 814, 201, 608.

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}.