Given numbers are 504,174,676,192,642

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

The LCM of 504,174,676,192,642 is 2114409024.

Find LCM of 504,174,676,192,642 with Prime Factorization

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

2 x 2 x 2 x 3 x 21 x 29 x 169 x 8 x 107 = 2114409024

Therefore, the lowest common multiple of 504,174,676,192,642 is 2114409024.

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.

504 x 174 x 676 x 192 x 642 = 7307397586944

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.

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

174 : 1, 2, 3, 6, 29, 58, 87, 174

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

642 : 1, 2, 3, 6, 107, 214, 321, 642

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,174,676,192,642, is 2.

Now, the common factors can be found like this.

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

174:2x 3x 29

676:2x 2x 13x 13

192:2x 2x 2x 2x 2x 2x 3

642:2x 3x 107

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 3 = 1728

Therefore, the value for common factors is 1728.

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 = 7307397586944/(2x1728)

LCM = 7307397586944/3456

LCM = 2114409024

Thus, we can understand that the LCM of 504,174,676,192,642 is 2114409024.

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

• LCM of 201, 300, 532, 626, 968
• LCM of 408, 497, 137, 978, 310
• LCM of 339, 940, 119, 323, 997
• LCM of 152, 152, 700, 692, 394
• LCM of 980, 172, 605, 667, 295

1. What is the LCM of 504, 174, 676, 192, 642?

Answer: LCM of 504, 174, 676, 192, 642 is 2114409024.

2. How to calculate the LCM of 504, 174, 676, 192, 642?

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 504, 174, 676, 192, 642.

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}.