Given numbers are 930,612,351,990

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

The LCM of 930,612,351,990 is 40694940.

Find LCM of 930,612,351,990 with Prime Factorization

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

2 x 3 x 3 x 5 x 31 x 34 x 39 x 11 = 40694940

Therefore, the lowest common multiple of 930,612,351,990 is 40694940.

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.

930 x 612 x 351 x 990 = 197777408400

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

351 : 1, 3, 9, 13, 27, 39, 117, 351

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,612,351,990, is 3.

Now, the common factors can be found like this.

930:2x 3x 5x 31

612:2x 2x 3x 3x 17

351:3x 3x 3x 13

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 3x 3x 5 = 1620

Therefore, the value for common factors is 1620.

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 = 197777408400/(3x1620)

LCM = 197777408400/4860

LCM = 40694940

Thus, we can understand that the LCM of 930,612,351,990 is 40694940.

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

• LCM of 986, 490, 506, 597
• LCM of 959, 787, 897, 790
• LCM of 648, 463, 820, 477
• LCM of 574, 672, 237, 568
• LCM of 174, 566, 102, 649

1. What is the LCM of 930, 612, 351, 990?

Answer: LCM of 930, 612, 351, 990 is 40694940.

2. How to calculate the LCM of 930, 612, 351, 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 930, 612, 351, 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}.