Given numbers are 3685,1005

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

The LCM of 3685,1005 is 11055.

Find LCM of 3685,1005 with Prime Factorization

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

5 x 67 x 11 x 3 = 11055

Therefore, the lowest common multiple of 3685,1005 is 11055.

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.

3685 x 1005 = 3703425

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.

3685 : 1, 5, 11, 55, 67, 335, 737, 3685

1005 : 1, 3, 5, 15, 67, 201, 335, 1005

335 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3685,1005, is 335.

Now, the common factors can be found like this.

3685:5x 11x 67

1005:3x 5x 67

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

= 1

Therefore, the value for common factors is 1.

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 = 3703425/(335x1)

LCM = 3703425/335

LCM = 11055

Thus, we can understand that the LCM of 3685,1005 is 11055.

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

• LCM of 8157, 6503
• LCM of 6929, 7692
• LCM of 9232, 3744
• LCM of 1568, 6149
• LCM of 9484, 1307

1. What is the LCM of 3685, 1005?

Answer: LCM of 3685, 1005 is 11055.

2. How to calculate the LCM of 3685, 1005?

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 3685, 1005.

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}.