Given numbers are 394,428,409,409

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

The LCM of 394,428,409,409 is 34485244.

Find LCM of 394,428,409,409 with Prime Factorization

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

2 x 409 x 197 x 214 x 1 x 1 = 34485244

Therefore, the lowest common multiple of 394,428,409,409 is 34485244.

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.

394 x 428 x 409 x 409 = 28208929592

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.

394 : 1, 2, 197, 394

428 : 1, 2, 4, 107, 214, 428

409 : 1, 409

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,428,409,409, is 1.

Now, the common factors can be found like this.

394:2x 197

428:2x 2x 107

409:409

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 409 = 818

Therefore, the value for common factors is 818.

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 = 28208929592/(1x818)

LCM = 28208929592/818

LCM = 34485244

Thus, we can understand that the LCM of 394,428,409,409 is 34485244.

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

• LCM of 109, 333, 683, 346
• LCM of 389, 664, 876, 209
• LCM of 818, 159, 711, 885
• LCM of 260, 695, 928, 531
• LCM of 194, 400, 425, 153

1. What is the LCM of 394, 428, 409, 409?

Answer: LCM of 394, 428, 409, 409 is 34485244.

2. How to calculate the LCM of 394, 428, 409, 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 394, 428, 409, 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}.