Given numbers are 106,798,678,690,796

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

The LCM of 106,798,678,690,796 is 218744990940.

Find LCM of 106,798,678,690,796 with Prime Factorization

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

2 x 3 x 53 x 133 x 113 x 115 x 398 = 218744990940

Therefore, the lowest common multiple of 106,798,678,690,796 is 218744990940.

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.

106 x 798 x 678 x 690 x 796 = 31499278695360

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.

106 : 1, 2, 53, 106

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

678 : 1, 2, 3, 6, 113, 226, 339, 678

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

796 : 1, 2, 4, 199, 398, 796

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,798,678,690,796, is 2.

Now, the common factors can be found like this.

106:2x 53

798:2x 3x 7x 19

678:2x 3x 113

690:2x 3x 5x 23

796:2x 2x 199

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 3 = 72

Therefore, the value for common factors is 72.

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 = 31499278695360/(2x72)

LCM = 31499278695360/144

LCM = 218744990940

Thus, we can understand that the LCM of 106,798,678,690,796 is 218744990940.

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

• LCM of 374, 237, 638, 884, 555
• LCM of 643, 901, 936, 930, 740
• LCM of 655, 622, 435, 762, 310
• LCM of 191, 792, 244, 276, 170
• LCM of 214, 535, 780, 832, 981

1. What is the LCM of 106, 798, 678, 690, 796?

Answer: LCM of 106, 798, 678, 690, 796 is 218744990940.

2. How to calculate the LCM of 106, 798, 678, 690, 796?

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 106, 798, 678, 690, 796.

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}.