Given numbers are 138,332,656,819,402

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

The LCM of 138,332,656,819,402 is 68717677392.

Find LCM of 138,332,656,819,402 with Prime Factorization

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

2 x 2 x 3 x 23 x 83 x 164 x 273 x 67 = 68717677392

Therefore, the lowest common multiple of 138,332,656,819,402 is 68717677392.

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.

138 x 332 x 656 x 819 x 402 = 9895345544448

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.

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

332 : 1, 2, 4, 83, 166, 332

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,332,656,819,402, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

332:2x 2x 83

656:2x 2x 2x 2x 41

819:3x 3x 7x 13

402:2x 3x 67

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 9895345544448/(1x144)

LCM = 9895345544448/144

LCM = 68717677392

Thus, we can understand that the LCM of 138,332,656,819,402 is 68717677392.

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

• LCM of 550, 850, 936, 229, 999
• LCM of 225, 436, 874, 523, 351
• LCM of 307, 189, 150, 123, 751
• LCM of 727, 863, 383, 797, 771
• LCM of 427, 690, 534, 939, 136

1. What is the LCM of 138, 332, 656, 819, 402?

Answer: LCM of 138, 332, 656, 819, 402 is 68717677392.

2. How to calculate the LCM of 138, 332, 656, 819, 402?

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 138, 332, 656, 819, 402.

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}.