Given numbers are 642,174,789,409

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

The LCM of 642,174,789,409 is 2002682406.

Find LCM of 642,174,789,409 with Prime Factorization

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

2 x 3 x 107 x 29 x 263 x 409 = 2002682406

Therefore, the lowest common multiple of 642,174,789,409 is 2002682406.

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.

642 x 174 x 789 x 409 = 36048283308

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.

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

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

789 : 1, 3, 263, 789

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,174,789,409, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

174:2x 3x 29

789:3x 263

409:409

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 36048283308/(1x18)

LCM = 36048283308/18

LCM = 2002682406

Thus, we can understand that the LCM of 642,174,789,409 is 2002682406.

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

• LCM of 846, 241, 353, 172
• LCM of 228, 144, 629, 877
• LCM of 224, 697, 443, 794
• LCM of 458, 379, 233, 307
• LCM of 344, 743, 323, 115

1. What is the LCM of 642, 174, 789, 409?

Answer: LCM of 642, 174, 789, 409 is 2002682406.

2. How to calculate the LCM of 642, 174, 789, 409?

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 642, 174, 789, 409.

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}.