Given numbers are 728,726,130,814

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

The LCM of 728,726,130,814 is 48888840.

Find LCM of 728,726,130,814 with Prime Factorization

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

2 x 11 x 13 x 28 x 33 x 5 x 37 = 48888840

Therefore, the lowest common multiple of 728,726,130,814 is 48888840.

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.

728 x 726 x 130 x 814 = 55928832960

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

130 : 1, 2, 5, 10, 13, 26, 65, 130

814 : 1, 2, 11, 22, 37, 74, 407, 814

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,726,130,814, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

726:2x 3x 11x 11

130:2x 5x 13

814:2x 11x 37

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 11x 13 = 572

Therefore, the value for common factors is 572.

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 = 55928832960/(2x572)

LCM = 55928832960/1144

LCM = 48888840

Thus, we can understand that the LCM of 728,726,130,814 is 48888840.

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

• LCM of 502, 930, 967, 295
• LCM of 181, 944, 981, 927
• LCM of 168, 746, 234, 571
• LCM of 775, 622, 164, 273
• LCM of 927, 345, 228, 975

1. What is the LCM of 728, 726, 130, 814?

Answer: LCM of 728, 726, 130, 814 is 48888840.

2. How to calculate the LCM of 728, 726, 130, 814?

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 728, 726, 130, 814.

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}.