Given numbers are 3909,7314

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

The LCM of 3909,7314 is 9530142.

Find LCM of 3909,7314 with Prime Factorization

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

3 x 1303 x 2438 = 9530142

Therefore, the lowest common multiple of 3909,7314 is 9530142.

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.

3909 x 7314 = 28590426

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.

3909 : 1, 3, 1303, 3909

7314 : 1, 2, 3, 6, 23, 46, 53, 69, 106, 138, 159, 318, 1219, 2438, 3657, 7314

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3909,7314, is 3.

Now, the common factors can be found like this.

3909:3x 1303

7314:2x 3x 23x 53

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 = 28590426/(3x1)

LCM = 28590426/3

LCM = 9530142

Thus, we can understand that the LCM of 3909,7314 is 9530142.

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

• LCM of 9666, 6364
• LCM of 3248, 5090
• LCM of 8266, 3942
• LCM of 9831, 8658
• LCM of 2532, 2119

1. What is the LCM of 3909, 7314?

Answer: LCM of 3909, 7314 is 9530142.

2. How to calculate the LCM of 3909, 7314?

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 3909, 7314.

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}.