Given numbers are 242,398,865,408,138

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

The LCM of 242,398,865,408,138 is 195453095640.

Find LCM of 242,398,865,408,138 with Prime Factorization

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

2 x 3 x 121 x 199 x 865 x 68 x 23 = 195453095640

Therefore, the lowest common multiple of 242,398,865,408,138 is 195453095640.

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 398 x 865 x 408 x 138 = 4690874295360

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

398 : 1, 2, 199, 398

865 : 1, 5, 173, 865

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,398,865,408,138, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

398:2x 199

865:5x 173

408:2x 2x 2x 3x 17

138:2x 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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 4690874295360/(1x24)

LCM = 4690874295360/24

LCM = 195453095640

Thus, we can understand that the LCM of 242,398,865,408,138 is 195453095640.

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

• LCM of 325, 474, 173, 560, 303
• LCM of 500, 478, 158, 647, 231
• LCM of 660, 911, 813, 706, 106
• LCM of 576, 257, 122, 532, 317
• LCM of 577, 278, 891, 384, 861

1. What is the LCM of 242, 398, 865, 408, 138?

Answer: LCM of 242, 398, 865, 408, 138 is 195453095640.

2. How to calculate the LCM of 242, 398, 865, 408, 138?

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, 398, 865, 408, 138.

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}.