Given numbers are 316,349,198,209

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

The LCM of 316,349,198,209 is 207444204.

Find LCM of 316,349,198,209 with Prime Factorization

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

2 x 11 x 158 x 349 x 9 x 19 = 207444204

Therefore, the lowest common multiple of 316,349,198,209 is 207444204.

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.

316 x 349 x 198 x 209 = 4563772488

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.

316 : 1, 2, 4, 79, 158, 316

349 : 1, 349

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,349,198,209, is 1.

Now, the common factors can be found like this.

316:2x 2x 79

349:349

198:2x 3x 3x 11

209:11x 19

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 4563772488/(1x22)

LCM = 4563772488/22

LCM = 207444204

Thus, we can understand that the LCM of 316,349,198,209 is 207444204.

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

• LCM of 733, 249, 105, 963
• LCM of 737, 281, 927, 314
• LCM of 163, 692, 409, 262
• LCM of 334, 243, 547, 185
• LCM of 822, 829, 137, 342

1. What is the LCM of 316, 349, 198, 209?

Answer: LCM of 316, 349, 198, 209 is 207444204.

2. How to calculate the LCM of 316, 349, 198, 209?

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 316, 349, 198, 209.

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}.