Given numbers are 138,568,349,402,804

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

The LCM of 138,568,349,402,804 is 916426536.

Find LCM of 138,568,349,402,804 with Prime Factorization

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

2 x 2 x 3 x 67 x 23 x 142 x 349 x 1 x 1 = 916426536

Therefore, the lowest common multiple of 138,568,349,402,804 is 916426536.

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 568 x 349 x 402 x 804 = 8841683219328

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

568 : 1, 2, 4, 8, 71, 142, 284, 568

349 : 1, 349

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

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,568,349,402,804, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

568:2x 2x 2x 71

349:349

402:2x 3x 67

804:2x 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 3x 67 = 9648

Therefore, the value for common factors is 9648.

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 = 8841683219328/(1x9648)

LCM = 8841683219328/9648

LCM = 916426536

Thus, we can understand that the LCM of 138,568,349,402,804 is 916426536.

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

• LCM of 201, 965, 644, 865, 192
• LCM of 473, 365, 621, 162, 417
• LCM of 621, 769, 651, 502, 320
• LCM of 508, 826, 298, 278, 908
• LCM of 663, 419, 289, 443, 504

1. What is the LCM of 138, 568, 349, 402, 804?

Answer: LCM of 138, 568, 349, 402, 804 is 916426536.

2. How to calculate the LCM of 138, 568, 349, 402, 804?

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, 568, 349, 402, 804.

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}.