Given numbers are 395,809,274,414

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

The LCM of 395,809,274,414 is 18124520490.

Find LCM of 395,809,274,414 with Prime Factorization

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

2 x 395 x 809 x 137 x 207 = 18124520490

Therefore, the lowest common multiple of 395,809,274,414 is 18124520490.

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.

395 x 809 x 274 x 414 = 36249040980

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.

395 : 1, 5, 79, 395

809 : 1, 809

274 : 1, 2, 137, 274

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,809,274,414, is 1.

Now, the common factors can be found like this.

395:5x 79

809:809

274:2x 137

414:2x 3x 3x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 36249040980/(1x2)

LCM = 36249040980/2

LCM = 18124520490

Thus, we can understand that the LCM of 395,809,274,414 is 18124520490.

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

• LCM of 317, 365, 909, 271
• LCM of 753, 199, 674, 183
• LCM of 696, 173, 213, 725
• LCM of 546, 821, 609, 264
• LCM of 573, 736, 922, 983

1. What is the LCM of 395, 809, 274, 414?

Answer: LCM of 395, 809, 274, 414 is 18124520490.

2. How to calculate the LCM of 395, 809, 274, 414?

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 395, 809, 274, 414.

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}.