Given numbers are 173,235,460,714

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

The LCM of 173,235,460,714 is 1335272820.

Find LCM of 173,235,460,714 with Prime Factorization

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

2 x 5 x 173 x 47 x 46 x 357 = 1335272820

Therefore, the lowest common multiple of 173,235,460,714 is 1335272820.

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 235 x 460 x 714 = 13352728200

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

235 : 1, 5, 47, 235

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,235,460,714, is 1.

Now, the common factors can be found like this.

173:173

235:5x 47

460:2x 2x 5x 23

714:2x 3x 7x 17

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 13352728200/(1x10)

LCM = 13352728200/10

LCM = 1335272820

Thus, we can understand that the LCM of 173,235,460,714 is 1335272820.

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

• LCM of 845, 677, 715, 500
• LCM of 965, 102, 281, 984
• LCM of 805, 957, 105, 966
• LCM of 568, 262, 747, 352
• LCM of 983, 961, 628, 916

1. What is the LCM of 173, 235, 460, 714?

Answer: LCM of 173, 235, 460, 714 is 1335272820.

2. How to calculate the LCM of 173, 235, 460, 714?

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, 235, 460, 714.

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}.