Given numbers are 984,170,738,629,528

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

The LCM of 984,170,738,629,528 is 204248880.

Find LCM of 984,170,738,629,528 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 41 x 1 x 5 x 3 x 37 x 22 = 204248880

Therefore, the lowest common multiple of 984,170,738,629,528 is 204248880.

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.

984 x 170 x 738 x 629 x 528 = 41000103175680

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.

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

170 : 1, 2, 5, 10, 17, 34, 85, 170

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

629 : 1, 17, 37, 629

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,170,738,629,528, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

170:2x 5x 17

738:2x 3x 3x 41

629:17x 37

528:2x 2x 2x 2x 3x 11

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 2x 2x 3x 3x 17x 41 = 200736

Therefore, the value for common factors is 200736.

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 = 41000103175680/(1x200736)

LCM = 41000103175680/200736

LCM = 204248880

Thus, we can understand that the LCM of 984,170,738,629,528 is 204248880.

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

• LCM of 953, 816, 134, 188, 132
• LCM of 435, 237, 347, 212, 300
• LCM of 639, 633, 635, 354, 903
• LCM of 510, 433, 989, 564, 667
• LCM of 992, 414, 111, 630, 360

1. What is the LCM of 984, 170, 738, 629, 528?

Answer: LCM of 984, 170, 738, 629, 528 is 204248880.

2. How to calculate the LCM of 984, 170, 738, 629, 528?

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 984, 170, 738, 629, 528.

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}.