Given numbers are 312,409,463,639,771

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

The LCM of 312,409,463,639,771 is 3234235351464.

Find LCM of 312,409,463,639,771 with Prime Factorization

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

3 x 104 x 409 x 463 x 213 x 257 = 3234235351464

Therefore, the lowest common multiple of 312,409,463,639,771 is 3234235351464.

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.

312 x 409 x 463 x 639 x 771 = 29108118163176

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

409 : 1, 409

463 : 1, 463

639 : 1, 3, 9, 71, 213, 639

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,409,463,639,771, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

409:409

463:463

639:3x 3x 71

771:3x 257

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 29108118163176/(1x9)

LCM = 29108118163176/9

LCM = 3234235351464

Thus, we can understand that the LCM of 312,409,463,639,771 is 3234235351464.

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

• LCM of 658, 664, 776, 908, 615
• LCM of 121, 857, 601, 467, 610
• LCM of 730, 188, 978, 109, 379
• LCM of 728, 398, 773, 398, 447
• LCM of 330, 792, 981, 736, 847

1. What is the LCM of 312, 409, 463, 639, 771?

Answer: LCM of 312, 409, 463, 639, 771 is 3234235351464.

2. How to calculate the LCM of 312, 409, 463, 639, 771?

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 312, 409, 463, 639, 771.

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}.