Given numbers are 890,788,159,201,990

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

The LCM of 890,788,159,201,990 is 123274172340.

Find LCM of 890,788,159,201,990 with Prime Factorization

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

2 x 3 x 5 x 89 x 394 x 53 x 67 x 33 = 123274172340

Therefore, the lowest common multiple of 890,788,159,201,990 is 123274172340.

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.

890 x 788 x 159 x 201 x 990 = 22189351021200

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.

890 : 1, 2, 5, 10, 89, 178, 445, 890

788 : 1, 2, 4, 197, 394, 788

159 : 1, 3, 53, 159

201 : 1, 3, 67, 201

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 890,788,159,201,990, is 1.

Now, the common factors can be found like this.

890:2x 5x 89

788:2x 2x 197

159:3x 53

201:3x 67

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 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 = 22189351021200/(1x180)

LCM = 22189351021200/180

LCM = 123274172340

Thus, we can understand that the LCM of 890,788,159,201,990 is 123274172340.

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

• LCM of 316, 290, 897, 745, 304
• LCM of 480, 835, 622, 245, 794
• LCM of 777, 642, 562, 357, 217
• LCM of 613, 303, 195, 839, 194
• LCM of 111, 292, 808, 367, 494

1. What is the LCM of 890, 788, 159, 201, 990?

Answer: LCM of 890, 788, 159, 201, 990 is 123274172340.

2. How to calculate the LCM of 890, 788, 159, 201, 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 890, 788, 159, 201, 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}.