Given numbers are 309,306,930,230,860

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

The LCM of 309,306,930,230,860 is 9663103620.

Find LCM of 309,306,930,230,860 with Prime Factorization

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

2 x 3 x 5 x 103 x 51 x 31 x 23 x 86 = 9663103620

Therefore, the lowest common multiple of 309,306,930,230,860 is 9663103620.

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.

309 x 306 x 930 x 230 x 860 = 17393586516000

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.

309 : 1, 3, 103, 309

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,306,930,230,860, is 1.

Now, the common factors can be found like this.

309:3x 103

306:2x 3x 3x 17

930:2x 3x 5x 31

230:2x 5x 23

860:2x 2x 5x 43

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 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 17393586516000/(1x1800)

LCM = 17393586516000/1800

LCM = 9663103620

Thus, we can understand that the LCM of 309,306,930,230,860 is 9663103620.

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

• LCM of 791, 934, 701, 107, 902
• LCM of 693, 424, 651, 229, 116
• LCM of 817, 150, 661, 997, 520
• LCM of 697, 125, 461, 241, 473
• LCM of 713, 475, 144, 155, 564

1. What is the LCM of 309, 306, 930, 230, 860?

Answer: LCM of 309, 306, 930, 230, 860 is 9663103620.

2. How to calculate the LCM of 309, 306, 930, 230, 860?

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 309, 306, 930, 230, 860.

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}.