Given numbers are 469,388,842,540,812

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

The LCM of 469,388,842,540,812 is 299928979980.

Find LCM of 469,388,842,540,812 with Prime Factorization

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

2 x 2 x 7 x 67 x 97 x 421 x 135 x 29 = 299928979980

Therefore, the lowest common multiple of 469,388,842,540,812 is 299928979980.

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.

469 x 388 x 842 x 540 x 812 = 67184091515520

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.

469 : 1, 7, 67, 469

388 : 1, 2, 4, 97, 194, 388

842 : 1, 2, 421, 842

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,388,842,540,812, is 1.

Now, the common factors can be found like this.

469:7x 67

388:2x 2x 97

842:2x 421

540:2x 2x 3x 3x 3x 5

812:2x 2x 7x 29

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 7 = 224

Therefore, the value for common factors is 224.

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 = 67184091515520/(1x224)

LCM = 67184091515520/224

LCM = 299928979980

Thus, we can understand that the LCM of 469,388,842,540,812 is 299928979980.

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

• LCM of 791, 965, 726, 768, 361
• LCM of 315, 435, 527, 518, 815
• LCM of 664, 422, 745, 297, 941
• LCM of 104, 975, 364, 915, 418
• LCM of 809, 674, 505, 861, 538

1. What is the LCM of 469, 388, 842, 540, 812?

Answer: LCM of 469, 388, 842, 540, 812 is 299928979980.

2. How to calculate the LCM of 469, 388, 842, 540, 812?

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 469, 388, 842, 540, 812.

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}.