Given numbers are 276,312,302,730,966

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

The LCM of 276,312,302,730,966 is 2768536680.

Find LCM of 276,312,302,730,966 with Prime Factorization

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

2 x 2 x 3 x 23 x 1 x 26 x 151 x 365 x 7 = 2768536680

Therefore, the lowest common multiple of 276,312,302,730,966 is 2768536680.

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.

276 x 312 x 302 x 730 x 966 = 18338786968320

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

302 : 1, 2, 151, 302

730 : 1, 2, 5, 10, 73, 146, 365, 730

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,312,302,730,966, is 2.

Now, the common factors can be found like this.

276:2x 2x 3x 23

312:2x 2x 2x 3x 13

302:2x 151

730:2x 5x 73

966:2x 3x 7x 23

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

2x 2x 2x 2x 3x 3x 23 = 3312

Therefore, the value for common factors is 3312.

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 = 18338786968320/(2x3312)

LCM = 18338786968320/6624

LCM = 2768536680

Thus, we can understand that the LCM of 276,312,302,730,966 is 2768536680.

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

• LCM of 265, 278, 226, 684, 758
• LCM of 851, 317, 874, 134, 947
• LCM of 585, 735, 118, 403, 435
• LCM of 106, 270, 711, 673, 385
• LCM of 220, 996, 640, 327, 910

1. What is the LCM of 276, 312, 302, 730, 966?

Answer: LCM of 276, 312, 302, 730, 966 is 2768536680.

2. How to calculate the LCM of 276, 312, 302, 730, 966?

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 276, 312, 302, 730, 966.

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}.