Given numbers are 327,936,738,306

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

The LCM of 327,936,738,306 is 71110728.

Find LCM of 327,936,738,306 with Prime Factorization

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

2 x 3 x 3 x 109 x 52 x 41 x 17 = 71110728

Therefore, the lowest common multiple of 327,936,738,306 is 71110728.

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.

327 x 936 x 738 x 306 = 69119627616

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.

327 : 1, 3, 109, 327

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

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,936,738,306, is 3.

Now, the common factors can be found like this.

327:3x 109

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

738:2x 3x 3x 41

306:2x 3x 3x 17

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 3 = 324

Therefore, the value for common factors is 324.

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 = 69119627616/(3x324)

LCM = 69119627616/972

LCM = 71110728

Thus, we can understand that the LCM of 327,936,738,306 is 71110728.

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

• LCM of 732, 537, 805, 746
• LCM of 315, 704, 700, 264
• LCM of 843, 668, 646, 644
• LCM of 190, 902, 140, 812
• LCM of 573, 590, 485, 474

1. What is the LCM of 327, 936, 738, 306?

Answer: LCM of 327, 936, 738, 306 is 71110728.

2. How to calculate the LCM of 327, 936, 738, 306?

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 327, 936, 738, 306.

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}.