Given numbers are 728,759,517,539

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

The LCM of 728,759,517,539 is 181789608.

Find LCM of 728,759,517,539 with Prime Factorization

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

7 x 11 x 104 x 69 x 47 x 7 = 181789608

Therefore, the lowest common multiple of 728,759,517,539 is 181789608.

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 759 x 517 x 539 = 153975797976

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

517 : 1, 11, 47, 517

539 : 1, 7, 11, 49, 77, 539

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,759,517,539, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

759:3x 11x 23

517:11x 47

539:7x 7x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

7x 11x 11 = 847

Therefore, the value for common factors is 847.

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 = 153975797976/(1x847)

LCM = 153975797976/847

LCM = 181789608

Thus, we can understand that the LCM of 728,759,517,539 is 181789608.

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

• LCM of 308, 796, 445, 879
• LCM of 978, 834, 910, 432
• LCM of 969, 856, 232, 678
• LCM of 522, 852, 258, 601
• LCM of 263, 770, 460, 695

1. What is the LCM of 728, 759, 517, 539?

Answer: LCM of 728, 759, 517, 539 is 181789608.

2. How to calculate the LCM of 728, 759, 517, 539?

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, 759, 517, 539.

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}.