Given numbers are 311,109,622,642,608

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

The LCM of 311,109,622,642,608 is 6616000032.

Find LCM of 311,109,622,642,608 with Prime Factorization

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

2 x 311 x 1 x 109 x 1 x 321 x 304 = 6616000032

Therefore, the lowest common multiple of 311,109,622,642,608 is 6616000032.

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.

311 x 109 x 622 x 642 x 608 = 8230304039808

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.

311 : 1, 311

109 : 1, 109

622 : 1, 2, 311, 622

642 : 1, 2, 3, 6, 107, 214, 321, 642

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,109,622,642,608, is 1.

Now, the common factors can be found like this.

311:311

109:109

622:2x 311

642:2x 3x 107

608:2x 2x 2x 2x 2x 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 2x 311 = 1244

Therefore, the value for common factors is 1244.

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 = 8230304039808/(1x1244)

LCM = 8230304039808/1244

LCM = 6616000032

Thus, we can understand that the LCM of 311,109,622,642,608 is 6616000032.

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

• LCM of 685, 648, 751, 829, 601
• LCM of 999, 483, 339, 577, 103
• LCM of 993, 132, 499, 228, 687
• LCM of 956, 605, 779, 359, 123
• LCM of 815, 810, 893, 560, 983

1. What is the LCM of 311, 109, 622, 642, 608?

Answer: LCM of 311, 109, 622, 642, 608 is 6616000032.

2. How to calculate the LCM of 311, 109, 622, 642, 608?

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 311, 109, 622, 642, 608.

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}.