Given numbers are 138,284,854,161,992

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

The LCM of 138,284,854,161,992 is 2075138016.

Find LCM of 138,284,854,161,992 with Prime Factorization

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

2 x 2 x 7 x 23 x 3 x 71 x 61 x 1 x 248 = 2075138016

Therefore, the lowest common multiple of 138,284,854,161,992 is 2075138016.

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 284 x 854 x 161 x 992 = 5345555529216

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

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

854 : 1, 2, 7, 14, 61, 122, 427, 854

161 : 1, 7, 23, 161

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,284,854,161,992, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

284:2x 2x 71

854:2x 7x 61

161:7x 23

992:2x 2x 2x 2x 2x 31

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 7x 23 = 2576

Therefore, the value for common factors is 2576.

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 = 5345555529216/(1x2576)

LCM = 5345555529216/2576

LCM = 2075138016

Thus, we can understand that the LCM of 138,284,854,161,992 is 2075138016.

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

• LCM of 595, 602, 171, 873, 434
• LCM of 656, 173, 783, 655, 410
• LCM of 233, 885, 757, 726, 380
• LCM of 224, 443, 604, 191, 187
• LCM of 209, 432, 245, 784, 821

1. What is the LCM of 138, 284, 854, 161, 992?

Answer: LCM of 138, 284, 854, 161, 992 is 2075138016.

2. How to calculate the LCM of 138, 284, 854, 161, 992?

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, 284, 854, 161, 992.

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}.