Given numbers are 338,546,428,409

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

The LCM of 338,546,428,409 is 621259548.

Find LCM of 338,546,428,409 with Prime Factorization

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

2 x 13 x 13 x 21 x 214 x 409 = 621259548

Therefore, the lowest common multiple of 338,546,428,409 is 621259548.

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.

338 x 546 x 428 x 409 = 32305496496

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.

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,546,428,409, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

546:2x 3x 7x 13

428:2x 2x 107

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 2x 13 = 52

Therefore, the value for common factors is 52.

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 = 32305496496/(1x52)

LCM = 32305496496/52

LCM = 621259548

Thus, we can understand that the LCM of 338,546,428,409 is 621259548.

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

• LCM of 484, 190, 196, 368
• LCM of 493, 745, 748, 309
• LCM of 661, 621, 295, 657
• LCM of 607, 997, 515, 673
• LCM of 418, 478, 333, 513

1. What is the LCM of 338, 546, 428, 409?

Answer: LCM of 338, 546, 428, 409 is 621259548.

2. How to calculate the LCM of 338, 546, 428, 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 338, 546, 428, 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}.