Given numbers are 705,135,409,849,790

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

The LCM of 705,135,409,849,790 is 116037524970.

Find LCM of 705,135,409,849,790 with Prime Factorization

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

3 x 5 x 47 x 9 x 409 x 283 x 158 = 116037524970

Therefore, the lowest common multiple of 705,135,409,849,790 is 116037524970.

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.

705 x 135 x 409 x 849 x 790 = 26108443118250

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

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

409 : 1, 409

849 : 1, 3, 283, 849

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,135,409,849,790, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

135:3x 3x 3x 5

409:409

849:3x 283

790:2x 5x 79

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

3x 3x 5x 5 = 225

Therefore, the value for common factors is 225.

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 = 26108443118250/(1x225)

LCM = 26108443118250/225

LCM = 116037524970

Thus, we can understand that the LCM of 705,135,409,849,790 is 116037524970.

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

• LCM of 388, 977, 776, 769, 983
• LCM of 969, 308, 415, 871, 605
• LCM of 501, 990, 676, 956, 535
• LCM of 981, 249, 707, 670, 106
• LCM of 742, 391, 668, 356, 172

1. What is the LCM of 705, 135, 409, 849, 790?

Answer: LCM of 705, 135, 409, 849, 790 is 116037524970.

2. How to calculate the LCM of 705, 135, 409, 849, 790?

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 705, 135, 409, 849, 790.

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}.