Given numbers are 546,173,398

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

The LCM of 546,173,398 is 18797142.

Find LCM of 546,173,398 with Prime Factorization

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

2 x 273 x 173 x 199 = 18797142

Therefore, the lowest common multiple of 546,173,398 is 18797142.

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.

546 x 173 x 398 = 37594284

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

173 : 1, 173

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,173,398, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

173:173

398:2x 199

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 = 37594284/(1x2)

LCM = 37594284/2

LCM = 18797142

Thus, we can understand that the LCM of 546,173,398 is 18797142.

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

• LCM of 614, 899, 923
• LCM of 341, 283, 564
• LCM of 253, 121, 908
• LCM of 333, 258, 894
• LCM of 865, 835, 710

1. What is the LCM of 546, 173, 398?

Answer: LCM of 546, 173, 398 is 18797142.

2. How to calculate the LCM of 546, 173, 398?

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 546, 173, 398.

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}.