Given numbers are 728,676,531,696

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

The LCM of 728,676,531,696 is 145736136.

Find LCM of 728,676,531,696 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 7 x 13 x 177 x 29 = 145736136

Therefore, the lowest common multiple of 728,676,531,696 is 145736136.

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 676 x 531 x 696 = 181878697728

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

531 : 1, 3, 9, 59, 177, 531

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,676,531,696, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

676:2x 2x 13x 13

531:3x 3x 59

696:2x 2x 2x 3x 29

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 2x 2x 3x 13 = 1248

Therefore, the value for common factors is 1248.

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 = 181878697728/(1x1248)

LCM = 181878697728/1248

LCM = 145736136

Thus, we can understand that the LCM of 728,676,531,696 is 145736136.

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

• LCM of 579, 557, 537, 651
• LCM of 175, 849, 647, 372
• LCM of 681, 691, 723, 932
• LCM of 700, 346, 750, 885
• LCM of 594, 709, 237, 838

1. What is the LCM of 728, 676, 531, 696?

Answer: LCM of 728, 676, 531, 696 is 145736136.

2. How to calculate the LCM of 728, 676, 531, 696?

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, 676, 531, 696.

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}.