Given numbers are 914,198,514,434

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

The LCM of 914,198,514,434 is 5046313734.

Find LCM of 914,198,514,434 with Prime Factorization

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

2 x 457 x 99 x 257 x 217 = 5046313734

Therefore, the lowest common multiple of 914,198,514,434 is 5046313734.

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.

914 x 198 x 514 x 434 = 40370509872

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.

914 : 1, 2, 457, 914

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

514 : 1, 2, 257, 514

434 : 1, 2, 7, 14, 31, 62, 217, 434

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,198,514,434, is 2.

Now, the common factors can be found like this.

914:2x 457

198:2x 3x 3x 11

514:2x 257

434:2x 7x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 40370509872/(2x4)

LCM = 40370509872/8

LCM = 5046313734

Thus, we can understand that the LCM of 914,198,514,434 is 5046313734.

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

• LCM of 467, 406, 613, 274
• LCM of 800, 415, 537, 413
• LCM of 442, 712, 448, 577
• LCM of 812, 961, 812, 123
• LCM of 789, 476, 362, 143

1. What is the LCM of 914, 198, 514, 434?

Answer: LCM of 914, 198, 514, 434 is 5046313734.

2. How to calculate the LCM of 914, 198, 514, 434?

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 914, 198, 514, 434.

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}.