Given numbers are 317,990,190,612,210

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

The LCM of 317,990,190,612,210 is 1419139260.

Find LCM of 317,990,190,612,210 with Prime Factorization

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

2 x 3 x 3 x 5 x 317 x 11 x 19 x 34 x 7 = 1419139260

Therefore, the lowest common multiple of 317,990,190,612,210 is 1419139260.

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.

317 x 990 x 190 x 612 x 210 = 7663352004000

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.

317 : 1, 317

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

190 : 1, 2, 5, 10, 19, 38, 95, 190

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

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,990,190,612,210, is 1.

Now, the common factors can be found like this.

317:317

990:2x 3x 3x 5x 11

190:2x 5x 19

612:2x 2x 3x 3x 17

210:2x 3x 5x 7

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 3x 3x 5x 5 = 5400

Therefore, the value for common factors is 5400.

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 = 7663352004000/(1x5400)

LCM = 7663352004000/5400

LCM = 1419139260

Thus, we can understand that the LCM of 317,990,190,612,210 is 1419139260.

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

• LCM of 754, 337, 984, 784, 555
• LCM of 942, 769, 147, 965, 716
• LCM of 719, 613, 656, 590, 165
• LCM of 376, 513, 865, 758, 248
• LCM of 148, 200, 323, 532, 166

1. What is the LCM of 317, 990, 190, 612, 210?

Answer: LCM of 317, 990, 190, 612, 210 is 1419139260.

2. How to calculate the LCM of 317, 990, 190, 612, 210?

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 317, 990, 190, 612, 210.

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}.