Given numbers are 303,800,990,122,974

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

The LCM of 303,800,990,122,974 is 237632234400.

Find LCM of 303,800,990,122,974 with Prime Factorization

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

2 x 3 x 5 x 101 x 80 x 33 x 61 x 487 = 237632234400

Therefore, the lowest common multiple of 303,800,990,122,974 is 237632234400.

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.

303 x 800 x 990 x 122 x 974 = 28515868128000

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.

303 : 1, 3, 101, 303

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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

122 : 1, 2, 61, 122

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,800,990,122,974, is 1.

Now, the common factors can be found like this.

303:3x 101

800:2x 2x 2x 2x 2x 5x 5

990:2x 3x 3x 5x 11

122:2x 61

974:2x 487

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 5 = 120

Therefore, the value for common factors is 120.

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 = 28515868128000/(1x120)

LCM = 28515868128000/120

LCM = 237632234400

Thus, we can understand that the LCM of 303,800,990,122,974 is 237632234400.

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

• LCM of 681, 387, 570, 567, 722
• LCM of 143, 461, 805, 656, 914
• LCM of 810, 812, 181, 145, 296
• LCM of 740, 402, 726, 861, 966
• LCM of 817, 492, 491, 748, 222

1. What is the LCM of 303, 800, 990, 122, 974?

Answer: LCM of 303, 800, 990, 122, 974 is 237632234400.

2. How to calculate the LCM of 303, 800, 990, 122, 974?

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 303, 800, 990, 122, 974.

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}.