Given numbers are 3214,9700

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

The LCM of 3214,9700 is 15587900.

Find LCM of 3214,9700 with Prime Factorization

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

2 x 1607 x 4850 = 15587900

Therefore, the lowest common multiple of 3214,9700 is 15587900.

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.

3214 x 9700 = 31175800

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.

3214 : 1, 2, 1607, 3214

9700 : 1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3214,9700, is 2.

Now, the common factors can be found like this.

3214:2x 1607

9700:2x 2x 5x 5x 97

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 = 31175800/(2x1)

LCM = 31175800/2

LCM = 15587900

Thus, we can understand that the LCM of 3214,9700 is 15587900.

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

• LCM of 5499, 5177
• LCM of 1586, 8921
• LCM of 5990, 1857
• LCM of 6473, 3352
• LCM of 9416, 4744

1. What is the LCM of 3214, 9700?

Answer: LCM of 3214, 9700 is 15587900.

2. How to calculate the LCM of 3214, 9700?

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 3214, 9700.

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}.