Given numbers are 2414,6404

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

The LCM of 2414,6404 is 7729628.

Find LCM of 2414,6404 with Prime Factorization

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

2 x 1207 x 3202 = 7729628

Therefore, the lowest common multiple of 2414,6404 is 7729628.

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.

2414 x 6404 = 15459256

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.

2414 : 1, 2, 17, 34, 71, 142, 1207, 2414

6404 : 1, 2, 4, 1601, 3202, 6404

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2414,6404, is 2.

Now, the common factors can be found like this.

2414:2x 17x 71

6404:2x 2x 1601

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 = 15459256/(2x1)

LCM = 15459256/2

LCM = 7729628

Thus, we can understand that the LCM of 2414,6404 is 7729628.

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

• LCM of 3100, 4136
• LCM of 1383, 5097
• LCM of 6528, 4129
• LCM of 6206, 3451
• LCM of 8771, 4636

1. What is the LCM of 2414, 6404?

Answer: LCM of 2414, 6404 is 7729628.

2. How to calculate the LCM of 2414, 6404?

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 2414, 6404.

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}.