Given numbers are 138,284,461

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

The LCM of 138,284,461 is 9033756.

Find LCM of 138,284,461 with Prime Factorization

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

2 x 69 x 142 x 461 = 9033756

Therefore, the lowest common multiple of 138,284,461 is 9033756.

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 461 = 18067512

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

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,284,461, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

284:2x 2x 71

461:461

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 18067512/(1x2)

LCM = 18067512/2

LCM = 9033756

Thus, we can understand that the LCM of 138,284,461 is 9033756.

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

• LCM of 137, 315, 522
• LCM of 999, 859, 979
• LCM of 910, 895, 198
• LCM of 159, 272, 874
• LCM of 863, 612, 432

1. What is the LCM of 138, 284, 461?

Answer: LCM of 138, 284, 461 is 9033756.

2. How to calculate the LCM of 138, 284, 461?

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, 461.

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}.