Given numbers are 538,489,418,414

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

The LCM of 538,489,418,414 is 3793905522.

Find LCM of 538,489,418,414 with Prime Factorization

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

2 x 3 x 269 x 163 x 209 x 69 = 3793905522

Therefore, the lowest common multiple of 538,489,418,414 is 3793905522.

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.

538 x 489 x 418 x 414 = 45526866264

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.

538 : 1, 2, 269, 538

489 : 1, 3, 163, 489

418 : 1, 2, 11, 19, 22, 38, 209, 418

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,489,418,414, is 1.

Now, the common factors can be found like this.

538:2x 269

489:3x 163

418:2x 11x 19

414:2x 3x 3x 23

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 = 45526866264/(1x12)

LCM = 45526866264/12

LCM = 3793905522

Thus, we can understand that the LCM of 538,489,418,414 is 3793905522.

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

• LCM of 488, 628, 176, 110
• LCM of 282, 898, 585, 570
• LCM of 807, 894, 910, 298
• LCM of 378, 851, 327, 230
• LCM of 586, 281, 939, 662

1. What is the LCM of 538, 489, 418, 414?

Answer: LCM of 538, 489, 418, 414 is 3793905522.

2. How to calculate the LCM of 538, 489, 418, 414?

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 538, 489, 418, 414.

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}.