Given numbers are 603,36,189

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

The LCM of 603,36,189 is 50652.

Find LCM of 603,36,189 with Prime Factorization

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

3 x 3 x 67 x 4 x 21 = 50652

Therefore, the lowest common multiple of 603,36,189 is 50652.

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.

603 x 36 x 189 = 4102812

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.

603 : 1, 3, 9, 67, 201, 603

36 : 1, 2, 3, 4, 6, 9, 12, 18, 36

189 : 1, 3, 7, 9, 21, 27, 63, 189

9 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 603,36,189, is 9.

Now, the common factors can be found like this.

603:3x 3x 67

36:2x 2x 3x 3

189:3x 3x 3x 7

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 = 4102812/(9x9)

LCM = 4102812/81

LCM = 50652

Thus, we can understand that the LCM of 603,36,189 is 50652.

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

• LCM of 741, 82, 625
• LCM of 179, 63, 104
• LCM of 271, 76, 907
• LCM of 953, 98, 811
• LCM of 518, 22, 967

1. What is the LCM of 603, 36, 189?

Answer: LCM of 603, 36, 189 is 50652.

2. How to calculate the LCM of 603, 36, 189?

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 603, 36, 189.

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}.