Given numbers are 234,180,976,966,891

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

The LCM of 234,180,976,966,891 is 9100531440.

Find LCM of 234,180,976,966,891 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 5 x 244 x 161 x 99 = 9100531440

Therefore, the lowest common multiple of 234,180,976,966,891 is 9100531440.

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.

234 x 180 x 976 x 966 x 891 = 35382866238720

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

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

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,180,976,966,891, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

180:2x 2x 3x 3x 5

976:2x 2x 2x 2x 61

966:2x 3x 7x 23

891:3x 3x 3x 3x 11

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 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 35382866238720/(1x3888)

LCM = 35382866238720/3888

LCM = 9100531440

Thus, we can understand that the LCM of 234,180,976,966,891 is 9100531440.

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

• LCM of 252, 911, 498, 304, 434
• LCM of 962, 404, 651, 485, 109
• LCM of 780, 361, 610, 912, 197
• LCM of 834, 986, 519, 820, 969
• LCM of 474, 300, 626, 543, 611

1. What is the LCM of 234, 180, 976, 966, 891?

Answer: LCM of 234, 180, 976, 966, 891 is 9100531440.

2. How to calculate the LCM of 234, 180, 976, 966, 891?

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 234, 180, 976, 966, 891.

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}.