Given numbers are 145,218,996,414

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

The LCM of 145,218,996,414 is 1086182820.

Find LCM of 145,218,996,414 with Prime Factorization

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

2 x 3 x 145 x 109 x 166 x 69 = 1086182820

Therefore, the lowest common multiple of 145,218,996,414 is 1086182820.

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.

145 x 218 x 996 x 414 = 13034193840

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.

145 : 1, 5, 29, 145

218 : 1, 2, 109, 218

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,218,996,414, is 1.

Now, the common factors can be found like this.

145:5x 29

218:2x 109

996:2x 2x 3x 83

414:2x 3x 3x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 13034193840/(1x12)

LCM = 13034193840/12

LCM = 1086182820

Thus, we can understand that the LCM of 145,218,996,414 is 1086182820.

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

• LCM of 544, 288, 628, 399
• LCM of 748, 608, 874, 536
• LCM of 917, 657, 166, 542
• LCM of 467, 386, 978, 266
• LCM of 849, 248, 449, 668

1. What is the LCM of 145, 218, 996, 414?

Answer: LCM of 145, 218, 996, 414 is 1086182820.

2. How to calculate the LCM of 145, 218, 996, 414?

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 145, 218, 996, 414.

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}.