Given numbers are 6304,1442

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

The LCM of 6304,1442 is 4545184.

Find LCM of 6304,1442 with Prime Factorization

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

2 x 3152 x 721 = 4545184

Therefore, the lowest common multiple of 6304,1442 is 4545184.

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.

6304 x 1442 = 9090368

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.

6304 : 1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304

1442 : 1, 2, 7, 14, 103, 206, 721, 1442

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6304,1442, is 2.

Now, the common factors can be found like this.

6304:2x 2x 2x 2x 2x 197

1442:2x 7x 103

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 = 9090368/(2x1)

LCM = 9090368/2

LCM = 4545184

Thus, we can understand that the LCM of 6304,1442 is 4545184.

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

• LCM of 5082, 7466
• LCM of 3251, 4329
• LCM of 7253, 9431
• LCM of 5483, 5578
• LCM of 5612, 7830

1. What is the LCM of 6304, 1442?

Answer: LCM of 6304, 1442 is 4545184.

2. How to calculate the LCM of 6304, 1442?

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 6304, 1442.

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}.