Given numbers are 990,381,268,431,690

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

The LCM of 990,381,268,431,690 is 167012439660.

Find LCM of 990,381,268,431,690 with Prime Factorization

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

2 x 3 x 5 x 33 x 127 x 134 x 431 x 23 = 167012439660

Therefore, the lowest common multiple of 990,381,268,431,690 is 167012439660.

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 381 x 268 x 431 x 690 = 30062239138800

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

381 : 1, 3, 127, 381

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

431 : 1, 431

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,381,268,431,690, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

381:3x 127

268:2x 2x 67

431:431

690:2x 3x 5x 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 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 = 30062239138800/(1x180)

LCM = 30062239138800/180

LCM = 167012439660

Thus, we can understand that the LCM of 990,381,268,431,690 is 167012439660.

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

• LCM of 737, 579, 231, 775, 540
• LCM of 380, 410, 917, 176, 663
• LCM of 473, 685, 733, 955, 700
• LCM of 209, 361, 733, 693, 613
• LCM of 922, 877, 975, 504, 211

1. What is the LCM of 990, 381, 268, 431, 690?

Answer: LCM of 990, 381, 268, 431, 690 is 167012439660.

2. How to calculate the LCM of 990, 381, 268, 431, 690?

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, 381, 268, 431, 690.

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}.