Given numbers are 198,424,214,771

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

The LCM of 198,424,214,771 is 1154298024.

Find LCM of 198,424,214,771 with Prime Factorization

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

2 x 3 x 33 x 212 x 107 x 257 = 1154298024

Therefore, the lowest common multiple of 198,424,214,771 is 1154298024.

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.

198 x 424 x 214 x 771 = 13851576288

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.

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

424 : 1, 2, 4, 8, 53, 106, 212, 424

214 : 1, 2, 107, 214

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,424,214,771, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

424:2x 2x 2x 53

214:2x 107

771:3x 257

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 3 = 12

Therefore, the value for common factors is 12.

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 = 13851576288/(1x12)

LCM = 13851576288/12

LCM = 1154298024

Thus, we can understand that the LCM of 198,424,214,771 is 1154298024.

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

• LCM of 933, 436, 746, 831
• LCM of 323, 593, 726, 218
• LCM of 206, 876, 836, 187
• LCM of 433, 391, 964, 720
• LCM of 690, 597, 109, 288

1. What is the LCM of 198, 424, 214, 771?

Answer: LCM of 198, 424, 214, 771 is 1154298024.

2. How to calculate the LCM of 198, 424, 214, 771?

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 198, 424, 214, 771.

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}.