Given numbers are 726,936,798,526

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

The LCM of 726,936,798,526 is 3961581624.

Find LCM of 726,936,798,526 with Prime Factorization

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

2 x 3 x 121 x 156 x 133 x 263 = 3961581624

Therefore, the lowest common multiple of 726,936,798,526 is 3961581624.

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 936 x 798 x 526 = 285233876928

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

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

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

526 : 1, 2, 263, 526

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,936,798,526, is 2.

Now, the common factors can be found like this.

726:2x 3x 11x 11

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

798:2x 3x 7x 19

526:2x 263

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 3 = 36

Therefore, the value for common factors is 36.

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 = 285233876928/(2x36)

LCM = 285233876928/72

LCM = 3961581624

Thus, we can understand that the LCM of 726,936,798,526 is 3961581624.

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

• LCM of 234, 195, 707, 172
• LCM of 150, 519, 649, 735
• LCM of 429, 655, 857, 195
• LCM of 779, 846, 936, 720
• LCM of 329, 822, 276, 979

1. What is the LCM of 726, 936, 798, 526?

Answer: LCM of 726, 936, 798, 526 is 3961581624.

2. How to calculate the LCM of 726, 936, 798, 526?

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, 936, 798, 526.

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}.