Given numbers are 214,296,980,699,218

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

The LCM of 214,296,980,699,218 is 591214731240.

Find LCM of 214,296,980,699,218 with Prime Factorization

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

2 x 2 x 107 x 74 x 245 x 699 x 109 = 591214731240

Therefore, the lowest common multiple of 214,296,980,699,218 is 591214731240.

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.

214 x 296 x 980 x 699 x 218 = 9459435699840

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.

214 : 1, 2, 107, 214

296 : 1, 2, 4, 8, 37, 74, 148, 296

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

699 : 1, 3, 233, 699

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,296,980,699,218, is 1.

Now, the common factors can be found like this.

214:2x 107

296:2x 2x 2x 37

980:2x 2x 5x 7x 7

699:3x 233

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 9459435699840/(1x16)

LCM = 9459435699840/16

LCM = 591214731240

Thus, we can understand that the LCM of 214,296,980,699,218 is 591214731240.

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

• LCM of 337, 378, 584, 442, 565
• LCM of 696, 707, 760, 367, 652
• LCM of 622, 645, 940, 307, 494
• LCM of 405, 640, 700, 380, 617
• LCM of 889, 401, 540, 147, 335

1. What is the LCM of 214, 296, 980, 699, 218?

Answer: LCM of 214, 296, 980, 699, 218 is 591214731240.

2. How to calculate the LCM of 214, 296, 980, 699, 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 214, 296, 980, 699, 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}.