Given numbers are 5748,6387

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

The LCM of 5748,6387 is 12237492.

Find LCM of 5748,6387 with Prime Factorization

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

3 x 1916 x 2129 = 12237492

Therefore, the lowest common multiple of 5748,6387 is 12237492.

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.

5748 x 6387 = 36712476

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.

5748 : 1, 2, 3, 4, 6, 12, 479, 958, 1437, 1916, 2874, 5748

6387 : 1, 3, 2129, 6387

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5748,6387, is 3.

Now, the common factors can be found like this.

5748:2x 2x 3x 479

6387:3x 2129

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 = 36712476/(3x1)

LCM = 36712476/3

LCM = 12237492

Thus, we can understand that the LCM of 5748,6387 is 12237492.

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

• LCM of 1484, 5485
• LCM of 6997, 2344
• LCM of 4339, 3176
• LCM of 9646, 4437
• LCM of 4922, 5221

1. What is the LCM of 5748, 6387?

Answer: LCM of 5748, 6387 is 12237492.

2. How to calculate the LCM of 5748, 6387?

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 5748, 6387.

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}.