Given numbers are 3285,7415

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

The LCM of 3285,7415 is 4871655.

Find LCM of 3285,7415 with Prime Factorization

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

5 x 657 x 1483 = 4871655

Therefore, the lowest common multiple of 3285,7415 is 4871655.

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.

3285 x 7415 = 24358275

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.

3285 : 1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095, 3285

7415 : 1, 5, 1483, 7415

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3285,7415, is 5.

Now, the common factors can be found like this.

3285:3x 3x 5x 73

7415:5x 1483

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 = 24358275/(5x1)

LCM = 24358275/5

LCM = 4871655

Thus, we can understand that the LCM of 3285,7415 is 4871655.

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

• LCM of 8741, 7501
• LCM of 1075, 5655
• LCM of 1720, 1042
• LCM of 2757, 8085
• LCM of 1988, 2302

1. What is the LCM of 3285, 7415?

Answer: LCM of 3285, 7415 is 4871655.

2. How to calculate the LCM of 3285, 7415?

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 3285, 7415.

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}.