Given numbers are 6412,3676

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

The LCM of 6412,3676 is 5892628.

Find LCM of 6412,3676 with Prime Factorization

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

2 x 2 x 1603 x 919 = 5892628

Therefore, the lowest common multiple of 6412,3676 is 5892628.

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.

6412 x 3676 = 23570512

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.

6412 : 1, 2, 4, 7, 14, 28, 229, 458, 916, 1603, 3206, 6412

3676 : 1, 2, 4, 919, 1838, 3676

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6412,3676, is 4.

Now, the common factors can be found like this.

6412:2x 2x 7x 229

3676:2x 2x 919

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 = 23570512/(4x1)

LCM = 23570512/4

LCM = 5892628

Thus, we can understand that the LCM of 6412,3676 is 5892628.

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

• LCM of 9914, 1168
• LCM of 1547, 6621
• LCM of 4685, 1427
• LCM of 9700, 7756
• LCM of 9845, 5476

1. What is the LCM of 6412, 3676?

Answer: LCM of 6412, 3676 is 5892628.

2. How to calculate the LCM of 6412, 3676?

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 6412, 3676.

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}.