Given numbers are 199,492,209,214

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

The LCM of 199,492,209,214 is 2189516604.

Find LCM of 199,492,209,214 with Prime Factorization

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

2 x 199 x 246 x 209 x 107 = 2189516604

Therefore, the lowest common multiple of 199,492,209,214 is 2189516604.

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.

199 x 492 x 209 x 214 = 4379033208

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.

199 : 1, 199

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

209 : 1, 11, 19, 209

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,492,209,214, is 1.

Now, the common factors can be found like this.

199:199

492:2x 2x 3x 41

209:11x 19

214:2x 107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 4379033208/(1x2)

LCM = 4379033208/2

LCM = 2189516604

Thus, we can understand that the LCM of 199,492,209,214 is 2189516604.

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

• LCM of 449, 566, 833, 588
• LCM of 565, 855, 419, 562
• LCM of 563, 106, 529, 761
• LCM of 779, 131, 144, 398
• LCM of 783, 618, 131, 912

1. What is the LCM of 199, 492, 209, 214?

Answer: LCM of 199, 492, 209, 214 is 2189516604.

2. How to calculate the LCM of 199, 492, 209, 214?

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 199, 492, 209, 214.

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}.