Given numbers are 230,239,168,212,349

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

The LCM of 230,239,168,212,349 is 85409527560.

Find LCM of 230,239,168,212,349 with Prime Factorization

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

2 x 2 x 115 x 239 x 42 x 53 x 349 = 85409527560

Therefore, the lowest common multiple of 230,239,168,212,349 is 85409527560.

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.

230 x 239 x 168 x 212 x 349 = 683276220480

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

239 : 1, 239

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

212 : 1, 2, 4, 53, 106, 212

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,239,168,212,349, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

239:239

168:2x 2x 2x 3x 7

212:2x 2x 53

349:349

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 683276220480/(1x8)

LCM = 683276220480/8

LCM = 85409527560

Thus, we can understand that the LCM of 230,239,168,212,349 is 85409527560.

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

• LCM of 838, 668, 685, 679, 843
• LCM of 769, 981, 429, 945, 791
• LCM of 589, 937, 615, 328, 662
• LCM of 569, 259, 721, 947, 967
• LCM of 338, 100, 432, 280, 967

1. What is the LCM of 230, 239, 168, 212, 349?

Answer: LCM of 230, 239, 168, 212, 349 is 85409527560.

2. How to calculate the LCM of 230, 239, 168, 212, 349?

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 230, 239, 168, 212, 349.

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}.