Given numbers are 409,470,683,414

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

The LCM of 409,470,683,414 is 27177669630.

Find LCM of 409,470,683,414 with Prime Factorization

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

2 x 409 x 235 x 683 x 207 = 27177669630

Therefore, the lowest common multiple of 409,470,683,414 is 27177669630.

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.

409 x 470 x 683 x 414 = 54355339260

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.

409 : 1, 409

470 : 1, 2, 5, 10, 47, 94, 235, 470

683 : 1, 683

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 409,470,683,414, is 1.

Now, the common factors can be found like this.

409:409

470:2x 5x 47

683:683

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 = 54355339260/(1x2)

LCM = 54355339260/2

LCM = 27177669630

Thus, we can understand that the LCM of 409,470,683,414 is 27177669630.

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

• LCM of 883, 679, 374, 563
• LCM of 154, 263, 757, 505
• LCM of 282, 374, 157, 656
• LCM of 902, 504, 792, 493
• LCM of 401, 621, 762, 734

1. What is the LCM of 409, 470, 683, 414?

Answer: LCM of 409, 470, 683, 414 is 27177669630.

2. How to calculate the LCM of 409, 470, 683, 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 409, 470, 683, 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}.