Given numbers are 121,164,208,311

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

The LCM of 121,164,208,311 is 320917168.

Find LCM of 121,164,208,311 with Prime Factorization

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

2 x 2 x 121 x 41 x 52 x 311 = 320917168

Therefore, the lowest common multiple of 121,164,208,311 is 320917168.

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.

121 x 164 x 208 x 311 = 1283668672

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.

121 : 1, 11, 121

164 : 1, 2, 4, 41, 82, 164

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,164,208,311, is 1.

Now, the common factors can be found like this.

121:11x 11

164:2x 2x 41

208:2x 2x 2x 2x 13

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 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 = 1283668672/(1x4)

LCM = 1283668672/4

LCM = 320917168

Thus, we can understand that the LCM of 121,164,208,311 is 320917168.

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

• LCM of 740, 494, 722, 661
• LCM of 253, 662, 577, 774
• LCM of 464, 788, 834, 557
• LCM of 705, 153, 936, 818
• LCM of 794, 864, 884, 287

1. What is the LCM of 121, 164, 208, 311?

Answer: LCM of 121, 164, 208, 311 is 320917168.

2. How to calculate the LCM of 121, 164, 208, 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 121, 164, 208, 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}.