Given numbers are 463,466,312,711

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

The LCM of 463,466,312,711 is 7977004776.

Find LCM of 463,466,312,711 with Prime Factorization

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

2 x 3 x 463 x 233 x 52 x 237 = 7977004776

Therefore, the lowest common multiple of 463,466,312,711 is 7977004776.

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.

463 x 466 x 312 x 711 = 47862028656

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.

463 : 1, 463

466 : 1, 2, 233, 466

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

711 : 1, 3, 9, 79, 237, 711

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,466,312,711, is 1.

Now, the common factors can be found like this.

463:463

466:2x 233

312:2x 2x 2x 3x 13

711:3x 3x 79

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 = 47862028656/(1x6)

LCM = 47862028656/6

LCM = 7977004776

Thus, we can understand that the LCM of 463,466,312,711 is 7977004776.

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

• LCM of 241, 327, 551, 991
• LCM of 208, 181, 466, 284
• LCM of 798, 585, 342, 832
• LCM of 221, 353, 403, 891
• LCM of 689, 541, 524, 151

1. What is the LCM of 463, 466, 312, 711?

Answer: LCM of 463, 466, 312, 711 is 7977004776.

2. How to calculate the LCM of 463, 466, 312, 711?

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 463, 466, 312, 711.

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}.