Given numbers are 6414,7677

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

The LCM of 6414,7677 is 16413426.

Find LCM of 6414,7677 with Prime Factorization

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

3 x 2138 x 2559 = 16413426

Therefore, the lowest common multiple of 6414,7677 is 16413426.

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.

6414 x 7677 = 49240278

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.

6414 : 1, 2, 3, 6, 1069, 2138, 3207, 6414

7677 : 1, 3, 9, 853, 2559, 7677

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6414,7677, is 3.

Now, the common factors can be found like this.

6414:2x 3x 1069

7677:3x 3x 853

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 = 49240278/(3x1)

LCM = 49240278/3

LCM = 16413426

Thus, we can understand that the LCM of 6414,7677 is 16413426.

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

• LCM of 3774, 7755
• LCM of 1017, 7447
• LCM of 9367, 4778
• LCM of 9785, 5439
• LCM of 6032, 9237

1. What is the LCM of 6414, 7677?

Answer: LCM of 6414, 7677 is 16413426.

2. How to calculate the LCM of 6414, 7677?

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 6414, 7677.

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}.