Given numbers are 231,310,267,19

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

The LCM of 231,310,267,19 is 121092510.

Find LCM of 231,310,267,19 with Prime Factorization

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

3 x 77 x 310 x 89 x 19 = 121092510

Therefore, the lowest common multiple of 231,310,267,19 is 121092510.

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.

231 x 310 x 267 x 19 = 363277530

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.

231 : 1, 3, 7, 11, 21, 33, 77, 231

310 : 1, 2, 5, 10, 31, 62, 155, 310

267 : 1, 3, 89, 267

19 : 1, 19

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,310,267,19, is 1.

Now, the common factors can be found like this.

231:3x 7x 11

310:2x 5x 31

267:3x 89

19:19

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

3 = 3

Therefore, the value for common factors is 3.

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 = 363277530/(1x3)

LCM = 363277530/3

LCM = 121092510

Thus, we can understand that the LCM of 231,310,267,19 is 121092510.

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

• LCM of 176, 401, 645, 33
• LCM of 784, 783, 492, 11
• LCM of 948, 436, 391, 63
• LCM of 169, 832, 254, 68
• LCM of 201, 751, 983, 13

1. What is the LCM of 231, 310, 267, 19?

Answer: LCM of 231, 310, 267, 19 is 121092510.

2. How to calculate the LCM of 231, 310, 267, 19?

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 231, 310, 267, 19.

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}.