Given numbers are 690,243,489,87

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

The LCM of 690,243,489,87 is 264192030.

Find LCM of 690,243,489,87 with Prime Factorization

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

3 x 230 x 81 x 163 x 29 = 264192030

Therefore, the lowest common multiple of 690,243,489,87 is 264192030.

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.

690 x 243 x 489 x 87 = 7133184810

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

243 : 1, 3, 9, 27, 81, 243

489 : 1, 3, 163, 489

87 : 1, 3, 29, 87

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,243,489,87, is 3.

Now, the common factors can be found like this.

690:2x 3x 5x 23

243:3x 3x 3x 3x 3

489:3x 163

87:3x 29

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 = 7133184810/(3x9)

LCM = 7133184810/27

LCM = 264192030

Thus, we can understand that the LCM of 690,243,489,87 is 264192030.

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

• LCM of 363, 303, 806, 34
• LCM of 726, 106, 929, 68
• LCM of 465, 801, 359, 10
• LCM of 917, 455, 568, 21
• LCM of 197, 548, 214, 16

1. What is the LCM of 690, 243, 489, 87?

Answer: LCM of 690, 243, 489, 87 is 264192030.

2. How to calculate the LCM of 690, 243, 489, 87?

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 690, 243, 489, 87.

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}.