Given numbers are 171,408,202,311

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

The LCM of 171,408,202,311 is 730494216.

Find LCM of 171,408,202,311 with Prime Factorization

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

2 x 3 x 57 x 68 x 101 x 311 = 730494216

Therefore, the lowest common multiple of 171,408,202,311 is 730494216.

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.

171 x 408 x 202 x 311 = 4382965296

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.

171 : 1, 3, 9, 19, 57, 171

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

202 : 1, 2, 101, 202

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,408,202,311, is 1.

Now, the common factors can be found like this.

171:3x 3x 19

408:2x 2x 2x 3x 17

202:2x 101

311:311

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 4382965296/(1x6)

LCM = 4382965296/6

LCM = 730494216

Thus, we can understand that the LCM of 171,408,202,311 is 730494216.

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

• LCM of 543, 441, 116, 710
• LCM of 742, 210, 217, 208
• LCM of 900, 453, 361, 246
• LCM of 133, 857, 528, 838
• LCM of 143, 998, 535, 200

1. What is the LCM of 171, 408, 202, 311?

Answer: LCM of 171, 408, 202, 311 is 730494216.

2. How to calculate the LCM of 171, 408, 202, 311?

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 171, 408, 202, 311.

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}.