Given numbers are 201,128,338,394,409

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

The LCM of 201,128,338,394,409 is 350333982336.

Find LCM of 201,128,338,394,409 with Prime Factorization

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

2 x 201 x 64 x 169 x 197 x 409 = 350333982336

Therefore, the lowest common multiple of 201,128,338,394,409 is 350333982336.

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.

201 x 128 x 338 x 394 x 409 = 1401335929344

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.

201 : 1, 3, 67, 201

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

394 : 1, 2, 197, 394

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,128,338,394,409, is 1.

Now, the common factors can be found like this.

201:3x 67

128:2x 2x 2x 2x 2x 2x 2

338:2x 13x 13

394:2x 197

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 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 = 1401335929344/(1x4)

LCM = 1401335929344/4

LCM = 350333982336

Thus, we can understand that the LCM of 201,128,338,394,409 is 350333982336.

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

• LCM of 795, 214, 251, 402, 581
• LCM of 294, 962, 380, 462, 211
• LCM of 693, 506, 566, 343, 167
• LCM of 492, 823, 963, 626, 268
• LCM of 193, 961, 317, 679, 602

1. What is the LCM of 201, 128, 338, 394, 409?

Answer: LCM of 201, 128, 338, 394, 409 is 350333982336.

2. How to calculate the LCM of 201, 128, 338, 394, 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 201, 128, 338, 394, 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}.