Given numbers are 522,551,790,270,406

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

The LCM of 522,551,790,270,406 is 82269810.

Find LCM of 522,551,790,270,406 with Prime Factorization

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

2 x 3 x 3 x 5 x 29 x 1 x 19 x 79 x 3 x 7 = 82269810

Therefore, the lowest common multiple of 522,551,790,270,406 is 82269810.

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.

522 x 551 x 790 x 270 x 406 = 24908007675600

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

551 : 1, 19, 29, 551

790 : 1, 2, 5, 10, 79, 158, 395, 790

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,551,790,270,406, is 1.

Now, the common factors can be found like this.

522:2x 3x 3x 29

551:19x 29

790:2x 5x 79

270:2x 3x 3x 3x 5

406:2x 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 3x 3x 5x 29x 29 = 302760

Therefore, the value for common factors is 302760.

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 = 24908007675600/(1x302760)

LCM = 24908007675600/302760

LCM = 82269810

Thus, we can understand that the LCM of 522,551,790,270,406 is 82269810.

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

• LCM of 714, 610, 382, 889, 218
• LCM of 610, 693, 948, 862, 297
• LCM of 676, 804, 305, 581, 943
• LCM of 903, 160, 659, 738, 609
• LCM of 740, 620, 866, 132, 104

1. What is the LCM of 522, 551, 790, 270, 406?

Answer: LCM of 522, 551, 790, 270, 406 is 82269810.

2. How to calculate the LCM of 522, 551, 790, 270, 406?

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 522, 551, 790, 270, 406.

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}.