Given numbers are 182,183,232,314

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

The LCM of 182,183,232,314 is 606568872.

Find LCM of 182,183,232,314 with Prime Factorization

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

2 x 91 x 183 x 116 x 157 = 606568872

Therefore, the lowest common multiple of 182,183,232,314 is 606568872.

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.

182 x 183 x 232 x 314 = 2426275488

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.

182 : 1, 2, 7, 13, 14, 26, 91, 182

183 : 1, 3, 61, 183

232 : 1, 2, 4, 8, 29, 58, 116, 232

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,183,232,314, is 1.

Now, the common factors can be found like this.

182:2x 7x 13

183:3x 61

232:2x 2x 2x 29

314:2x 157

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2426275488/(1x4)

LCM = 2426275488/4

LCM = 606568872

Thus, we can understand that the LCM of 182,183,232,314 is 606568872.

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

• LCM of 605, 807, 661, 717
• LCM of 280, 221, 492, 378
• LCM of 522, 584, 970, 487
• LCM of 614, 404, 117, 164
• LCM of 561, 127, 401, 718

1. What is the LCM of 182, 183, 232, 314?

Answer: LCM of 182, 183, 232, 314 is 606568872.

2. How to calculate the LCM of 182, 183, 232, 314?

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 182, 183, 232, 314.

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}.