Given numbers are 312,154,888,268,966

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

The LCM of 312,154,888,268,966 is 1369776408.

Find LCM of 312,154,888,268,966 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 13 x 11 x 37 x 67 x 23 = 1369776408

Therefore, the lowest common multiple of 312,154,888,268,966 is 1369776408.

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 154 x 888 x 268 x 966 = 11045876954112

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

154 : 1, 2, 7, 11, 14, 22, 77, 154

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

268 : 1, 2, 4, 67, 134, 268

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 312,154,888,268,966, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

154:2x 7x 11

888:2x 2x 2x 3x 37

268:2x 2x 67

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 2x 2x 3x 3x 7 = 4032

Therefore, the value for common factors is 4032.

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 = 11045876954112/(2x4032)

LCM = 11045876954112/8064

LCM = 1369776408

Thus, we can understand that the LCM of 312,154,888,268,966 is 1369776408.

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

• LCM of 271, 100, 239, 802, 842
• LCM of 352, 137, 845, 601, 141
• LCM of 230, 971, 427, 805, 446
• LCM of 141, 386, 716, 119, 989
• LCM of 955, 723, 830, 521, 689

1. What is the LCM of 312, 154, 888, 268, 966?

Answer: LCM of 312, 154, 888, 268, 966 is 1369776408.

2. How to calculate the LCM of 312, 154, 888, 268, 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 312, 154, 888, 268, 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}.