Given numbers are 174,81,309

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

The LCM of 174,81,309 is 483894.

Find LCM of 174,81,309 with Prime Factorization

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

3 x 58 x 27 x 103 = 483894

Therefore, the lowest common multiple of 174,81,309 is 483894.

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.

174 x 81 x 309 = 4355046

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.

174 : 1, 2, 3, 6, 29, 58, 87, 174

81 : 1, 3, 9, 27, 81

309 : 1, 3, 103, 309

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,81,309, is 3.

Now, the common factors can be found like this.

174:2x 3x 29

81:3x 3x 3x 3

309:3x 103

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

3 = 3

Therefore, the value for common factors is 3.

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 = 4355046/(3x3)

LCM = 4355046/9

LCM = 483894

Thus, we can understand that the LCM of 174,81,309 is 483894.

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

• LCM of 780, 22, 252
• LCM of 501, 39, 623
• LCM of 440, 46, 161
• LCM of 150, 17, 841
• LCM of 622, 70, 641

1. What is the LCM of 174, 81, 309?

Answer: LCM of 174, 81, 309 is 483894.

2. How to calculate the LCM of 174, 81, 309?

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 174, 81, 309.

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}.