Given numbers are 132,265,314,176

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

The LCM of 132,265,314,176 is 21967440.

Find LCM of 132,265,314,176 with Prime Factorization

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

2 x 2 x 11 x 3 x 265 x 157 x 4 = 21967440

Therefore, the lowest common multiple of 132,265,314,176 is 21967440.

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.

132 x 265 x 314 x 176 = 1933134720

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.

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

265 : 1, 5, 53, 265

314 : 1, 2, 157, 314

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,265,314,176, is 1.

Now, the common factors can be found like this.

132:2x 2x 3x 11

265:5x 53

314:2x 157

176:2x 2x 2x 2x 11

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 11 = 88

Therefore, the value for common factors is 88.

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 = 1933134720/(1x88)

LCM = 1933134720/88

LCM = 21967440

Thus, we can understand that the LCM of 132,265,314,176 is 21967440.

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

• LCM of 928, 421, 879, 819
• LCM of 267, 444, 512, 940
• LCM of 333, 591, 116, 345
• LCM of 152, 693, 975, 176
• LCM of 608, 665, 465, 276

1. What is the LCM of 132, 265, 314, 176?

Answer: LCM of 132, 265, 314, 176 is 21967440.

2. How to calculate the LCM of 132, 265, 314, 176?

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 132, 265, 314, 176.

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}.