Given numbers are 687,982,222,996,990

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

The LCM of 687,982,222,996,990 is 683694334620.

Find LCM of 687,982,222,996,990 with Prime Factorization

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

2 x 3 x 229 x 491 x 37 x 166 x 165 = 683694334620

Therefore, the lowest common multiple of 687,982,222,996,990 is 683694334620.

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.

687 x 982 x 222 x 996 x 990 = 147677976277920

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.

687 : 1, 3, 229, 687

982 : 1, 2, 491, 982

222 : 1, 2, 3, 6, 37, 74, 111, 222

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,982,222,996,990, is 1.

Now, the common factors can be found like this.

687:3x 229

982:2x 491

222:2x 3x 37

996:2x 2x 3x 83

990:2x 3x 3x 5x 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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 147677976277920/(1x216)

LCM = 147677976277920/216

LCM = 683694334620

Thus, we can understand that the LCM of 687,982,222,996,990 is 683694334620.

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

• LCM of 836, 616, 297, 158, 818
• LCM of 920, 124, 591, 725, 948
• LCM of 808, 730, 996, 712, 535
• LCM of 887, 529, 320, 565, 460
• LCM of 172, 480, 773, 107, 255

1. What is the LCM of 687, 982, 222, 996, 990?

Answer: LCM of 687, 982, 222, 996, 990 is 683694334620.

2. How to calculate the LCM of 687, 982, 222, 996, 990?

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 687, 982, 222, 996, 990.

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}.