Given numbers are 304,361,888,990

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

The LCM of 304,361,888,990 is 105787440.

Find LCM of 304,361,888,990 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 2 x 19 x 37 x 165 = 105787440

Therefore, the lowest common multiple of 304,361,888,990 is 105787440.

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.

304 x 361 x 888 x 990 = 96478145280

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

361 : 1, 19, 361

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

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 304,361,888,990, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

361:19x 19

888:2x 2x 2x 3x 37

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 2x 3x 19 = 912

Therefore, the value for common factors is 912.

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 = 96478145280/(1x912)

LCM = 96478145280/912

LCM = 105787440

Thus, we can understand that the LCM of 304,361,888,990 is 105787440.

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

• LCM of 687, 887, 721, 482
• LCM of 801, 962, 798, 474
• LCM of 458, 492, 963, 850
• LCM of 716, 318, 516, 539
• LCM of 240, 843, 662, 143

1. What is the LCM of 304, 361, 888, 990?

Answer: LCM of 304, 361, 888, 990 is 105787440.

2. How to calculate the LCM of 304, 361, 888, 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 304, 361, 888, 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}.