Given numbers are 242,944,519,414,523

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

The LCM of 242,944,519,414,523 is 2139318772272.

Find LCM of 242,944,519,414,523 with Prime Factorization

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

2 x 3 x 121 x 472 x 173 x 69 x 523 = 2139318772272

Therefore, the lowest common multiple of 242,944,519,414,523 is 2139318772272.

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.

242 x 944 x 519 x 414 x 523 = 25671825267264

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.

242 : 1, 2, 11, 22, 121, 242

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

519 : 1, 3, 173, 519

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

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,944,519,414,523, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

944:2x 2x 2x 2x 59

519:3x 173

414:2x 3x 3x 23

523:523

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 = 25671825267264/(1x12)

LCM = 25671825267264/12

LCM = 2139318772272

Thus, we can understand that the LCM of 242,944,519,414,523 is 2139318772272.

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

• LCM of 201, 419, 965, 149, 204
• LCM of 682, 388, 963, 552, 929
• LCM of 768, 662, 955, 234, 704
• LCM of 138, 774, 771, 501, 798
• LCM of 154, 890, 344, 347, 544

1. What is the LCM of 242, 944, 519, 414, 523?

Answer: LCM of 242, 944, 519, 414, 523 is 2139318772272.

2. How to calculate the LCM of 242, 944, 519, 414, 523?

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 242, 944, 519, 414, 523.

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}.