Given numbers are 463,214,522,504,198

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

The LCM of 463,214,522,504,198 is 7965003816.

Find LCM of 463,214,522,504,198 with Prime Factorization

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

2 x 3 x 3 x 463 x 107 x 29 x 28 x 11 = 7965003816

Therefore, the lowest common multiple of 463,214,522,504,198 is 7965003816.

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.

463 x 214 x 522 x 504 x 198 = 5161322472768

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.

463 : 1, 463

214 : 1, 2, 107, 214

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,214,522,504,198, is 1.

Now, the common factors can be found like this.

463:463

214:2x 107

522:2x 3x 3x 29

504:2x 2x 2x 3x 3x 7

198:2x 3x 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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 5161322472768/(1x648)

LCM = 5161322472768/648

LCM = 7965003816

Thus, we can understand that the LCM of 463,214,522,504,198 is 7965003816.

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

• LCM of 338, 611, 739, 392, 609
• LCM of 841, 369, 651, 882, 798
• LCM of 655, 602, 648, 894, 231
• LCM of 541, 574, 146, 186, 219
• LCM of 389, 427, 387, 155, 980

1. What is the LCM of 463, 214, 522, 504, 198?

Answer: LCM of 463, 214, 522, 504, 198 is 7965003816.

2. How to calculate the LCM of 463, 214, 522, 504, 198?

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 463, 214, 522, 504, 198.

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}.