Given numbers are 311,460,161,491

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

The LCM of 311,460,161,491 is 491697220.

Find LCM of 311,460,161,491 with Prime Factorization

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

23 x 311 x 20 x 7 x 491 = 491697220

Therefore, the lowest common multiple of 311,460,161,491 is 491697220.

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.

311 x 460 x 161 x 491 = 11309036060

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.

311 : 1, 311

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

161 : 1, 7, 23, 161

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,460,161,491, is 1.

Now, the common factors can be found like this.

311:311

460:2x 2x 5x 23

161:7x 23

491:491

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

23 = 23

Therefore, the value for common factors is 23.

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 = 11309036060/(1x23)

LCM = 11309036060/23

LCM = 491697220

Thus, we can understand that the LCM of 311,460,161,491 is 491697220.

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

• LCM of 587, 307, 857, 219
• LCM of 495, 913, 618, 670
• LCM of 261, 336, 611, 916
• LCM of 523, 852, 302, 115
• LCM of 229, 174, 411, 195

1. What is the LCM of 311, 460, 161, 491?

Answer: LCM of 311, 460, 161, 491 is 491697220.

2. How to calculate the LCM of 311, 460, 161, 491?

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 311, 460, 161, 491.

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}.