Given numbers are 3684,6788

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

The LCM of 3684,6788 is 6251748.

Find LCM of 3684,6788 with Prime Factorization

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

2 x 2 x 921 x 1697 = 6251748

Therefore, the lowest common multiple of 3684,6788 is 6251748.

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.

3684 x 6788 = 25006992

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.

3684 : 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684

6788 : 1, 2, 4, 1697, 3394, 6788

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3684,6788, is 4.

Now, the common factors can be found like this.

3684:2x 2x 3x 307

6788:2x 2x 1697

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 = 25006992/(4x1)

LCM = 25006992/4

LCM = 6251748

Thus, we can understand that the LCM of 3684,6788 is 6251748.

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

• LCM of 3494, 5176
• LCM of 9692, 2144
• LCM of 9576, 1768
• LCM of 2583, 4758
• LCM of 9076, 9987

1. What is the LCM of 3684, 6788?

Answer: LCM of 3684, 6788 is 6251748.

2. How to calculate the LCM of 3684, 6788?

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 3684, 6788.

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}.