Given numbers are 201,687,432,465

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

The LCM of 201,687,432,465 is 1027367280.

Find LCM of 201,687,432,465 with Prime Factorization

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

3 x 67 x 229 x 144 x 155 = 1027367280

Therefore, the lowest common multiple of 201,687,432,465 is 1027367280.

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 687 x 432 x 465 = 27738916560

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

687 : 1, 3, 229, 687

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

465 : 1, 3, 5, 15, 31, 93, 155, 465

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,687,432,465, is 3.

Now, the common factors can be found like this.

201:3x 67

687:3x 229

432:2x 2x 2x 2x 3x 3x 3

465:3x 5x 31

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 27738916560/(3x9)

LCM = 27738916560/27

LCM = 1027367280

Thus, we can understand that the LCM of 201,687,432,465 is 1027367280.

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

• LCM of 656, 551, 360, 577
• LCM of 947, 900, 489, 700
• LCM of 362, 213, 427, 342
• LCM of 488, 684, 365, 406
• LCM of 922, 552, 768, 525

1. What is the LCM of 201, 687, 432, 465?

Answer: LCM of 201, 687, 432, 465 is 1027367280.

2. How to calculate the LCM of 201, 687, 432, 465?

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, 687, 432, 465.

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}.