Given numbers are 821,214,998,194,218

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

The LCM of 821,214,998,194,218 is 926948718338.

Find LCM of 821,214,998,194,218 with Prime Factorization

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

2 x 821 x 107 x 499 x 97 x 109 = 926948718338

Therefore, the lowest common multiple of 821,214,998,194,218 is 926948718338.

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.

821 x 214 x 998 x 194 x 218 = 7415589746704

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.

821 : 1, 821

214 : 1, 2, 107, 214

998 : 1, 2, 499, 998

194 : 1, 2, 97, 194

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,214,998,194,218, is 1.

Now, the common factors can be found like this.

821:821

214:2x 107

998:2x 499

194:2x 97

218:2x 109

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 2 = 8

Therefore, the value for common factors is 8.

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 = 7415589746704/(1x8)

LCM = 7415589746704/8

LCM = 926948718338

Thus, we can understand that the LCM of 821,214,998,194,218 is 926948718338.

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

• LCM of 980, 172, 412, 315, 446
• LCM of 131, 210, 690, 329, 186
• LCM of 457, 791, 202, 584, 140
• LCM of 457, 663, 250, 433, 426
• LCM of 113, 745, 149, 357, 803

1. What is the LCM of 821, 214, 998, 194, 218?

Answer: LCM of 821, 214, 998, 194, 218 is 926948718338.

2. How to calculate the LCM of 821, 214, 998, 194, 218?

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 821, 214, 998, 194, 218.

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}.