Given numbers are 3405,1905

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

The LCM of 3405,1905 is 432435.

Find LCM of 3405,1905 with Prime Factorization

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

3 x 5 x 227 x 127 = 432435

Therefore, the lowest common multiple of 3405,1905 is 432435.

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.

3405 x 1905 = 6486525

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.

3405 : 1, 3, 5, 15, 227, 681, 1135, 3405

1905 : 1, 3, 5, 15, 127, 381, 635, 1905

15 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3405,1905, is 15.

Now, the common factors can be found like this.

3405:3x 5x 227

1905:3x 5x 127

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 = 6486525/(15x1)

LCM = 6486525/15

LCM = 432435

Thus, we can understand that the LCM of 3405,1905 is 432435.

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

• LCM of 4514, 1442
• LCM of 6131, 3669
• LCM of 4766, 7204
• LCM of 3731, 3729
• LCM of 5939, 9955

1. What is the LCM of 3405, 1905?

Answer: LCM of 3405, 1905 is 432435.

2. How to calculate the LCM of 3405, 1905?

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 3405, 1905.

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}.