Given numbers are 798,321,738,219,708

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

The LCM of 798,321,738,219,708 is 90468345492.

Find LCM of 798,321,738,219,708 with Prime Factorization

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

2 x 3 x 133 x 107 x 123 x 73 x 118 = 90468345492

Therefore, the lowest common multiple of 798,321,738,219,708 is 90468345492.

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.

798 x 321 x 738 x 219 x 708 = 29311743939408

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.

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

321 : 1, 3, 107, 321

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

219 : 1, 3, 73, 219

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,321,738,219,708, is 3.

Now, the common factors can be found like this.

798:2x 3x 7x 19

321:3x 107

738:2x 3x 3x 41

219:3x 73

708:2x 2x 3x 59

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 29311743939408/(3x108)

LCM = 29311743939408/324

LCM = 90468345492

Thus, we can understand that the LCM of 798,321,738,219,708 is 90468345492.

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

• LCM of 931, 297, 426, 935, 923
• LCM of 189, 361, 329, 537, 177
• LCM of 803, 330, 200, 890, 426
• LCM of 264, 977, 304, 922, 710
• LCM of 678, 834, 625, 500, 914

1. What is the LCM of 798, 321, 738, 219, 708?

Answer: LCM of 798, 321, 738, 219, 708 is 90468345492.

2. How to calculate the LCM of 798, 321, 738, 219, 708?

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 798, 321, 738, 219, 708.

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}.