Given numbers are 990,831,865,174,976

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

The LCM of 990,831,865,174,976 is 671396212080.

Find LCM of 990,831,865,174,976 with Prime Factorization

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

2 x 3 x 5 x 33 x 277 x 173 x 29 x 488 = 671396212080

Therefore, the lowest common multiple of 990,831,865,174,976 is 671396212080.

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.

990 x 831 x 865 x 174 x 976 = 120851318174400

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.

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

831 : 1, 3, 277, 831

865 : 1, 5, 173, 865

174 : 1, 2, 3, 6, 29, 58, 87, 174

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,831,865,174,976, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

831:3x 277

865:5x 173

174:2x 3x 29

976:2x 2x 2x 2x 61

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 120851318174400/(1x180)

LCM = 120851318174400/180

LCM = 671396212080

Thus, we can understand that the LCM of 990,831,865,174,976 is 671396212080.

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

• LCM of 777, 344, 106, 361, 205
• LCM of 974, 426, 123, 830, 950
• LCM of 915, 544, 284, 913, 774
• LCM of 629, 250, 760, 511, 322
• LCM of 485, 603, 720, 787, 247

1. What is the LCM of 990, 831, 865, 174, 976?

Answer: LCM of 990, 831, 865, 174, 976 is 671396212080.

2. How to calculate the LCM of 990, 831, 865, 174, 976?

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 990, 831, 865, 174, 976.

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}.