Given numbers are 173,828,138,552

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

The LCM of 173,828,138,552 is 286488.

Find LCM of 173,828,138,552 with Prime Factorization

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

2 x 2 x 3 x 23 x 173 x 1 x 3 x 2 = 286488

Therefore, the lowest common multiple of 173,828,138,552 is 286488.

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.

173 x 828 x 138 x 552 = 10911754944

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.

173 : 1, 173

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,828,138,552, is 1.

Now, the common factors can be found like this.

173:173

828:2x 2x 3x 3x 23

138:2x 3x 23

552:2x 2x 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 3x 3x 23x 23 = 38088

Therefore, the value for common factors is 38088.

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 = 10911754944/(1x38088)

LCM = 10911754944/38088

LCM = 286488

Thus, we can understand that the LCM of 173,828,138,552 is 286488.

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

• LCM of 492, 482, 297, 890
• LCM of 121, 252, 384, 360
• LCM of 299, 954, 198, 201
• LCM of 822, 914, 826, 167
• LCM of 934, 651, 407, 929

1. What is the LCM of 173, 828, 138, 552?

Answer: LCM of 173, 828, 138, 552 is 286488.

2. How to calculate the LCM of 173, 828, 138, 552?

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 173, 828, 138, 552.

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}.