Given numbers are 505,466,233,311,379

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

The LCM of 505,466,233,311,379 is 27738111770.

Find LCM of 505,466,233,311,379 with Prime Factorization

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

233 x 505 x 2 x 1 x 311 x 379 = 27738111770

Therefore, the lowest common multiple of 505,466,233,311,379 is 27738111770.

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.

505 x 466 x 233 x 311 x 379 = 6462980042410

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.

505 : 1, 5, 101, 505

466 : 1, 2, 233, 466

233 : 1, 233

311 : 1, 311

379 : 1, 379

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,466,233,311,379, is 1.

Now, the common factors can be found like this.

505:5x 101

466:2x 233

233:233

311:311

379:379

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

233 = 233

Therefore, the value for common factors is 233.

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 = 6462980042410/(1x233)

LCM = 6462980042410/233

LCM = 27738111770

Thus, we can understand that the LCM of 505,466,233,311,379 is 27738111770.

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

• LCM of 496, 553, 223, 243, 312
• LCM of 231, 674, 373, 388, 829
• LCM of 857, 470, 512, 386, 217
• LCM of 421, 246, 597, 518, 996
• LCM of 895, 411, 722, 454, 365

1. What is the LCM of 505, 466, 233, 311, 379?

Answer: LCM of 505, 466, 233, 311, 379 is 27738111770.

2. How to calculate the LCM of 505, 466, 233, 311, 379?

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 505, 466, 233, 311, 379.

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}.