Given numbers are 261,69,135,178

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

The LCM of 261,69,135,178 is 16028010.

Find LCM of 261,69,135,178 with Prime Factorization

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

3 x 3 x 29 x 23 x 15 x 178 = 16028010

Therefore, the lowest common multiple of 261,69,135,178 is 16028010.

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.

261 x 69 x 135 x 178 = 432756270

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.

261 : 1, 3, 9, 29, 87, 261

69 : 1, 3, 23, 69

135 : 1, 3, 5, 9, 15, 27, 45, 135

178 : 1, 2, 89, 178

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,69,135,178, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

69:3x 23

135:3x 3x 3x 5

178:2x 89

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 432756270/(1x27)

LCM = 432756270/27

LCM = 16028010

Thus, we can understand that the LCM of 261,69,135,178 is 16028010.

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

• LCM of 413, 40, 702, 305
• LCM of 484, 93, 361, 412
• LCM of 108, 97, 910, 251
• LCM of 596, 60, 347, 799
• LCM of 560, 63, 311, 665

1. What is the LCM of 261, 69, 135, 178?

Answer: LCM of 261, 69, 135, 178 is 16028010.

2. How to calculate the LCM of 261, 69, 135, 178?

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 261, 69, 135, 178.

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}.