Given numbers are 406,412,454,338

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

The LCM of 406,412,454,338 is 3208527868.

Find LCM of 406,412,454,338 with Prime Factorization

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

2 x 203 x 206 x 227 x 169 = 3208527868

Therefore, the lowest common multiple of 406,412,454,338 is 3208527868.

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.

406 x 412 x 454 x 338 = 25668222944

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

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

454 : 1, 2, 227, 454

338 : 1, 2, 13, 26, 169, 338

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,412,454,338, is 2.

Now, the common factors can be found like this.

406:2x 7x 29

412:2x 2x 103

454:2x 227

338:2x 13x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 25668222944/(2x4)

LCM = 25668222944/8

LCM = 3208527868

Thus, we can understand that the LCM of 406,412,454,338 is 3208527868.

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

• LCM of 884, 772, 324, 210
• LCM of 904, 552, 400, 814
• LCM of 144, 744, 910, 212
• LCM of 224, 810, 596, 320
• LCM of 924, 399, 341, 147

1. What is the LCM of 406, 412, 454, 338?

Answer: LCM of 406, 412, 454, 338 is 3208527868.

2. How to calculate the LCM of 406, 412, 454, 338?

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 406, 412, 454, 338.

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}.