Given numbers are 306,108,936,614

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

The LCM of 306,108,936,614 is 14654952.

Find LCM of 306,108,936,614 with Prime Factorization

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

2 x 2 x 3 x 3 x 17 x 3 x 26 x 307 = 14654952

Therefore, the lowest common multiple of 306,108,936,614 is 14654952.

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.

306 x 108 x 936 x 614 = 18992817792

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.

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

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,108,936,614, is 2.

Now, the common factors can be found like this.

306:2x 3x 3x 17

108:2x 2x 3x 3x 3

936:2x 2x 2x 3x 3x 13

614:2x 307

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 3 = 648

Therefore, the value for common factors is 648.

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 = 18992817792/(2x648)

LCM = 18992817792/1296

LCM = 14654952

Thus, we can understand that the LCM of 306,108,936,614 is 14654952.

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

• LCM of 618, 712, 651, 981
• LCM of 909, 281, 824, 979
• LCM of 989, 117, 785, 794
• LCM of 241, 200, 180, 719
• LCM of 698, 192, 182, 101

1. What is the LCM of 306, 108, 936, 614?

Answer: LCM of 306, 108, 936, 614 is 14654952.

2. How to calculate the LCM of 306, 108, 936, 614?

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 306, 108, 936, 614.

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}.