Given numbers are 342,214,791,904

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

The LCM of 342,214,791,904 is 115783416.

Find LCM of 342,214,791,904 with Prime Factorization

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

2 x 113 x 171 x 107 x 7 x 4 = 115783416

Therefore, the lowest common multiple of 342,214,791,904 is 115783416.

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 214 x 791 x 904 = 52334104032

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

214 : 1, 2, 107, 214

791 : 1, 7, 113, 791

904 : 1, 2, 4, 8, 113, 226, 452, 904

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,214,791,904, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

214:2x 107

791:7x 113

904:2x 2x 2x 113

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 113 = 452

Therefore, the value for common factors is 452.

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 = 52334104032/(1x452)

LCM = 52334104032/452

LCM = 115783416

Thus, we can understand that the LCM of 342,214,791,904 is 115783416.

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

• LCM of 602, 103, 618, 144
• LCM of 506, 647, 816, 785
• LCM of 713, 653, 358, 818
• LCM of 161, 621, 988, 766
• LCM of 354, 609, 206, 810

1. What is the LCM of 342, 214, 791, 904?

Answer: LCM of 342, 214, 791, 904 is 115783416.

2. How to calculate the LCM of 342, 214, 791, 904?

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, 214, 791, 904.

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}.