Given numbers are 409,388,596,412

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

The LCM of 409,388,596,412 is 2435446124.

Find LCM of 409,388,596,412 with Prime Factorization

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

2 x 2 x 409 x 97 x 149 x 103 = 2435446124

Therefore, the lowest common multiple of 409,388,596,412 is 2435446124.

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 388 x 596 x 412 = 38967137984

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

388 : 1, 2, 4, 97, 194, 388

596 : 1, 2, 4, 149, 298, 596

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,388,596,412, is 1.

Now, the common factors can be found like this.

409:409

388:2x 2x 97

596:2x 2x 149

412:2x 2x 103

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 2 = 16

Therefore, the value for common factors is 16.

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 = 38967137984/(1x16)

LCM = 38967137984/16

LCM = 2435446124

Thus, we can understand that the LCM of 409,388,596,412 is 2435446124.

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

• LCM of 570, 322, 632, 634
• LCM of 792, 864, 557, 669
• LCM of 913, 308, 521, 181
• LCM of 469, 917, 719, 898
• LCM of 380, 120, 716, 960

1. What is the LCM of 409, 388, 596, 412?

Answer: LCM of 409, 388, 596, 412 is 2435446124.

2. How to calculate the LCM of 409, 388, 596, 412?

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, 388, 596, 412.

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}.