Given numbers are 8574,3284

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

The LCM of 8574,3284 is 14078508.

Find LCM of 8574,3284 with Prime Factorization

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

2 x 4287 x 1642 = 14078508

Therefore, the lowest common multiple of 8574,3284 is 14078508.

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.

8574 x 3284 = 28157016

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.

8574 : 1, 2, 3, 6, 1429, 2858, 4287, 8574

3284 : 1, 2, 4, 821, 1642, 3284

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8574,3284, is 2.

Now, the common factors can be found like this.

8574:2x 3x 1429

3284:2x 2x 821

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 = 28157016/(2x1)

LCM = 28157016/2

LCM = 14078508

Thus, we can understand that the LCM of 8574,3284 is 14078508.

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

• LCM of 9760, 4113
• LCM of 4642, 4234
• LCM of 2053, 6355
• LCM of 8143, 1389
• LCM of 1137, 4074

1. What is the LCM of 8574, 3284?

Answer: LCM of 8574, 3284 is 14078508.

2. How to calculate the LCM of 8574, 3284?

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 8574, 3284.

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}.