Given numbers are 790,516,682,198,986

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

The LCM of 790,516,682,198,986 is 102794374980.

Find LCM of 790,516,682,198,986 with Prime Factorization

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

2 x 3 x 11 x 395 x 86 x 31 x 3 x 493 = 102794374980

Therefore, the lowest common multiple of 790,516,682,198,986 is 102794374980.

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 516 x 682 x 198 x 986 = 54275429989440

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

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

682 : 1, 2, 11, 22, 31, 62, 341, 682

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

986 : 1, 2, 17, 29, 34, 58, 493, 986

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,516,682,198,986, is 2.

Now, the common factors can be found like this.

790:2x 5x 79

516:2x 2x 3x 43

682:2x 11x 31

198:2x 3x 3x 11

986:2x 17x 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 2x 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 54275429989440/(2x264)

LCM = 54275429989440/528

LCM = 102794374980

Thus, we can understand that the LCM of 790,516,682,198,986 is 102794374980.

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

• LCM of 898, 108, 463, 188, 980
• LCM of 571, 481, 807, 445, 399
• LCM of 406, 503, 101, 296, 175
• LCM of 548, 309, 910, 481, 500
• LCM of 803, 923, 275, 412, 868

1. What is the LCM of 790, 516, 682, 198, 986?

Answer: LCM of 790, 516, 682, 198, 986 is 102794374980.

2. How to calculate the LCM of 790, 516, 682, 198, 986?

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, 516, 682, 198, 986.

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}.