Given numbers are 990,750,307,940

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

The LCM of 990,750,307,940 is 714235500.

Find LCM of 990,750,307,940 with Prime Factorization

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

2 x 3 x 5 x 33 x 25 x 307 x 94 = 714235500

Therefore, the lowest common multiple of 990,750,307,940 is 714235500.

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 750 x 307 x 940 = 214270650000

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

307 : 1, 307

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,750,307,940, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

750:2x 3x 5x 5x 5

307:307

940:2x 2x 5x 47

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 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 214270650000/(1x300)

LCM = 214270650000/300

LCM = 714235500

Thus, we can understand that the LCM of 990,750,307,940 is 714235500.

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

• LCM of 973, 449, 381, 232
• LCM of 734, 360, 980, 393
• LCM of 475, 253, 127, 247
• LCM of 762, 412, 518, 935
• LCM of 493, 881, 106, 127

1. What is the LCM of 990, 750, 307, 940?

Answer: LCM of 990, 750, 307, 940 is 714235500.

2. How to calculate the LCM of 990, 750, 307, 940?

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, 750, 307, 940.

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}.