Given numbers are 728,351,663,676,516

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

The LCM of 728,351,663,676,516 is 186790968.

Find LCM of 728,351,663,676,516 with Prime Factorization

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

2 x 2 x 3 x 13 x 14 x 9 x 17 x 13 x 43 = 186790968

Therefore, the lowest common multiple of 728,351,663,676,516 is 186790968.

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 351 x 663 x 676 x 516 = 59094684964224

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

663 : 1, 3, 13, 17, 39, 51, 221, 663

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

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,351,663,676,516, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

351:3x 3x 3x 13

663:3x 13x 17

676:2x 2x 13x 13

516:2x 2x 3x 43

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 3x 3x 13x 13x 13 = 316368

Therefore, the value for common factors is 316368.

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 = 59094684964224/(1x316368)

LCM = 59094684964224/316368

LCM = 186790968

Thus, we can understand that the LCM of 728,351,663,676,516 is 186790968.

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

• LCM of 861, 853, 427, 792, 996
• LCM of 335, 575, 562, 967, 193
• LCM of 242, 283, 967, 521, 766
• LCM of 813, 749, 639, 801, 382
• LCM of 783, 349, 503, 255, 429

1. What is the LCM of 728, 351, 663, 676, 516?

Answer: LCM of 728, 351, 663, 676, 516 is 186790968.

2. How to calculate the LCM of 728, 351, 663, 676, 516?

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, 351, 663, 676, 516.

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}.