Given numbers are 993,317,142,105,331

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

The LCM of 993,317,142,105,331 is 1564461570.

Find LCM of 993,317,142,105,331 with Prime Factorization

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

3 x 331 x 1 x 317 x 142 x 35 x 1 = 1564461570

Therefore, the lowest common multiple of 993,317,142,105,331 is 1564461570.

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.

993 x 317 x 142 x 105 x 331 = 1553510339010

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.

993 : 1, 3, 331, 993

317 : 1, 317

142 : 1, 2, 71, 142

105 : 1, 3, 5, 7, 15, 21, 35, 105

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,317,142,105,331, is 1.

Now, the common factors can be found like this.

993:3x 331

317:317

142:2x 71

105:3x 5x 7

331:331

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

3x 331 = 993

Therefore, the value for common factors is 993.

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 = 1553510339010/(1x993)

LCM = 1553510339010/993

LCM = 1564461570

Thus, we can understand that the LCM of 993,317,142,105,331 is 1564461570.

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

• LCM of 732, 238, 353, 799, 744
• LCM of 295, 437, 885, 801, 367
• LCM of 407, 624, 170, 410, 311
• LCM of 478, 573, 284, 629, 224
• LCM of 604, 717, 858, 215, 457

1. What is the LCM of 993, 317, 142, 105, 331?

Answer: LCM of 993, 317, 142, 105, 331 is 1564461570.

2. How to calculate the LCM of 993, 317, 142, 105, 331?

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 993, 317, 142, 105, 331.

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}.