Given numbers are 342,614,406,841

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

The LCM of 342,614,406,841 is 618099678.

Find LCM of 342,614,406,841 with Prime Factorization

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

2 x 29 x 171 x 307 x 7 x 29 = 618099678

Therefore, the lowest common multiple of 342,614,406,841 is 618099678.

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.

342 x 614 x 406 x 841 = 71699562648

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

614 : 1, 2, 307, 614

406 : 1, 2, 7, 14, 29, 58, 203, 406

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,614,406,841, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

614:2x 307

406:2x 7x 29

841:29x 29

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 29 = 116

Therefore, the value for common factors is 116.

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 = 71699562648/(1x116)

LCM = 71699562648/116

LCM = 618099678

Thus, we can understand that the LCM of 342,614,406,841 is 618099678.

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

• LCM of 951, 706, 552, 746
• LCM of 904, 988, 617, 865
• LCM of 231, 949, 522, 479
• LCM of 168, 501, 550, 315
• LCM of 301, 815, 560, 309

1. What is the LCM of 342, 614, 406, 841?

Answer: LCM of 342, 614, 406, 841 is 618099678.

2. How to calculate the LCM of 342, 614, 406, 841?

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 342, 614, 406, 841.

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}.