Given numbers are 424,204,504,791,354

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

The LCM of 424,204,504,791,354 is 3027511368.

Find LCM of 424,204,504,791,354 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 53 x 17 x 3 x 113 x 59 = 3027511368

Therefore, the lowest common multiple of 424,204,504,791,354 is 3027511368.

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.

424 x 204 x 504 x 791 x 354 = 12206925835776

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

791 : 1, 7, 113, 791

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,204,504,791,354, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

204:2x 2x 3x 17

504:2x 2x 2x 3x 3x 7

791:7x 113

354:2x 3x 59

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 3x 3x 7 = 4032

Therefore, the value for common factors is 4032.

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 = 12206925835776/(1x4032)

LCM = 12206925835776/4032

LCM = 3027511368

Thus, we can understand that the LCM of 424,204,504,791,354 is 3027511368.

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

• LCM of 240, 714, 200, 420, 801
• LCM of 460, 633, 179, 334, 854
• LCM of 455, 676, 669, 682, 119
• LCM of 578, 727, 419, 843, 741
• LCM of 742, 421, 797, 869, 617

1. What is the LCM of 424, 204, 504, 791, 354?

Answer: LCM of 424, 204, 504, 791, 354 is 3027511368.

2. How to calculate the LCM of 424, 204, 504, 791, 354?

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 424, 204, 504, 791, 354.

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}.