Given numbers are 538,988,257,624

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

The LCM of 538,988,257,624 is 819640848.

Find LCM of 538,988,257,624 with Prime Factorization

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

2 x 2 x 13 x 269 x 19 x 257 x 12 = 819640848

Therefore, the lowest common multiple of 538,988,257,624 is 819640848.

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 988 x 257 x 624 = 85242648192

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

257 : 1, 257

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,988,257,624, is 1.

Now, the common factors can be found like this.

538:2x 269

988:2x 2x 13x 19

257:257

624:2x 2x 2x 2x 3x 13

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 13 = 104

Therefore, the value for common factors is 104.

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 = 85242648192/(1x104)

LCM = 85242648192/104

LCM = 819640848

Thus, we can understand that the LCM of 538,988,257,624 is 819640848.

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

• LCM of 570, 767, 532, 641
• LCM of 218, 548, 996, 334
• LCM of 664, 564, 668, 726
• LCM of 294, 739, 685, 690
• LCM of 372, 753, 342, 285

1. What is the LCM of 538, 988, 257, 624?

Answer: LCM of 538, 988, 257, 624 is 819640848.

2. How to calculate the LCM of 538, 988, 257, 624?

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, 988, 257, 624.

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}.