Given numbers are 790,135,835,904,470

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

The LCM of 790,135,835,904,470 is 75673464840.

Find LCM of 790,135,835,904,470 with Prime Factorization

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

2 x 5 x 79 x 27 x 167 x 452 x 47 = 75673464840

Therefore, the lowest common multiple of 790,135,835,904,470 is 75673464840.

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.

790 x 135 x 835 x 904 x 470 = 37836732420000

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

135 : 1, 3, 5, 9, 15, 27, 45, 135

835 : 1, 5, 167, 835

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

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,135,835,904,470, is 1.

Now, the common factors can be found like this.

790:2x 5x 79

135:3x 3x 3x 5

835:5x 167

904:2x 2x 2x 113

470:2x 5x 47

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 5x 5x 5 = 500

Therefore, the value for common factors is 500.

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 = 37836732420000/(1x500)

LCM = 37836732420000/500

LCM = 75673464840

Thus, we can understand that the LCM of 790,135,835,904,470 is 75673464840.

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

• LCM of 801, 427, 355, 739, 282
• LCM of 887, 667, 904, 903, 969
• LCM of 780, 745, 238, 305, 856
• LCM of 825, 443, 472, 964, 860
• LCM of 913, 734, 549, 524, 218

1. What is the LCM of 790, 135, 835, 904, 470?

Answer: LCM of 790, 135, 835, 904, 470 is 75673464840.

2. How to calculate the LCM of 790, 135, 835, 904, 470?

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 790, 135, 835, 904, 470.

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}.