Given numbers are 726,930,114,328,865

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

The LCM of 726,930,114,328,865 is 60661322040.

Find LCM of 726,930,114,328,865 with Prime Factorization

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

2 x 3 x 5 x 121 x 31 x 19 x 164 x 173 = 60661322040

Therefore, the lowest common multiple of 726,930,114,328,865 is 60661322040.

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.

726 x 930 x 114 x 328 x 865 = 21838075934400

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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

114 : 1, 2, 3, 6, 19, 38, 57, 114

328 : 1, 2, 4, 8, 41, 82, 164, 328

865 : 1, 5, 173, 865

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,930,114,328,865, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

930:2x 3x 5x 31

114:2x 3x 19

328:2x 2x 2x 41

865:5x 173

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 5 = 360

Therefore, the value for common factors is 360.

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 = 21838075934400/(1x360)

LCM = 21838075934400/360

LCM = 60661322040

Thus, we can understand that the LCM of 726,930,114,328,865 is 60661322040.

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

• LCM of 316, 599, 670, 405, 325
• LCM of 252, 827, 861, 278, 367
• LCM of 350, 276, 388, 290, 990
• LCM of 199, 549, 438, 185, 923
• LCM of 107, 472, 800, 360, 940

1. What is the LCM of 726, 930, 114, 328, 865?

Answer: LCM of 726, 930, 114, 328, 865 is 60661322040.

2. How to calculate the LCM of 726, 930, 114, 328, 865?

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 726, 930, 114, 328, 865.

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}.