Given numbers are 214,209,107

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

The LCM of 214,209,107 is 44726.

Find LCM of 214,209,107 with Prime Factorization

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

107 x 2 x 209 x 1 = 44726

Therefore, the lowest common multiple of 214,209,107 is 44726.

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.

214 x 209 x 107 = 4785682

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.

214 : 1, 2, 107, 214

209 : 1, 11, 19, 209

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,209,107, is 1.

Now, the common factors can be found like this.

214:2x 107

209:11x 19

107:107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

107 = 107

Therefore, the value for common factors is 107.

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 = 4785682/(1x107)

LCM = 4785682/107

LCM = 44726

Thus, we can understand that the LCM of 214,209,107 is 44726.

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

• LCM of 968, 815, 569
• LCM of 141, 134, 692
• LCM of 596, 187, 355
• LCM of 772, 121, 906
• LCM of 639, 727, 226

1. What is the LCM of 214, 209, 107?

Answer: LCM of 214, 209, 107 is 44726.

2. How to calculate the LCM of 214, 209, 107?

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 214, 209, 107.

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}.