Given numbers are 201,132,393,268,536

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

The LCM of 201,132,393,268,536 is 2317128.

Find LCM of 201,132,393,268,536 with Prime Factorization

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

2 x 2 x 3 x 67 x 1 x 11 x 131 x 1 x 2 = 2317128

Therefore, the lowest common multiple of 201,132,393,268,536 is 2317128.

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 132 x 393 x 268 x 536 = 1497828613248

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

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

393 : 1, 3, 131, 393

268 : 1, 2, 4, 67, 134, 268

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,132,393,268,536, is 1.

Now, the common factors can be found like this.

201:3x 67

132:2x 2x 3x 11

393:3x 131

268:2x 2x 67

536:2x 2x 2x 67

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 2x 3x 3x 67x 67 = 646416

Therefore, the value for common factors is 646416.

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 = 1497828613248/(1x646416)

LCM = 1497828613248/646416

LCM = 2317128

Thus, we can understand that the LCM of 201,132,393,268,536 is 2317128.

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

• LCM of 428, 650, 384, 817, 307
• LCM of 419, 683, 820, 971, 197
• LCM of 456, 875, 413, 532, 125
• LCM of 585, 612, 650, 103, 418
• LCM of 428, 240, 781, 667, 968

1. What is the LCM of 201, 132, 393, 268, 536?

Answer: LCM of 201, 132, 393, 268, 536 is 2317128.

2. How to calculate the LCM of 201, 132, 393, 268, 536?

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, 132, 393, 268, 536.

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}.