Given numbers are 6754,3054

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

The LCM of 6754,3054 is 10313358.

Find LCM of 6754,3054 with Prime Factorization

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

2 x 3377 x 1527 = 10313358

Therefore, the lowest common multiple of 6754,3054 is 10313358.

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.

6754 x 3054 = 20626716

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.

6754 : 1, 2, 11, 22, 307, 614, 3377, 6754

3054 : 1, 2, 3, 6, 509, 1018, 1527, 3054

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6754,3054, is 2.

Now, the common factors can be found like this.

6754:2x 11x 307

3054:2x 3x 509

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 = 20626716/(2x1)

LCM = 20626716/2

LCM = 10313358

Thus, we can understand that the LCM of 6754,3054 is 10313358.

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

• LCM of 2967, 3009
• LCM of 2534, 6629
• LCM of 4027, 2309
• LCM of 7649, 2061
• LCM of 7140, 1467

1. What is the LCM of 6754, 3054?

Answer: LCM of 6754, 3054 is 10313358.

2. How to calculate the LCM of 6754, 3054?

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 6754, 3054.

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}.