Given numbers are 726,660,782,714

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

The LCM of 726,660,782,714 is 19870620.

Find LCM of 726,660,782,714 with Prime Factorization

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

2 x 3 x 11 x 17 x 11 x 10 x 23 x 7 = 19870620

Therefore, the lowest common multiple of 726,660,782,714 is 19870620.

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 660 x 782 x 714 = 267538027680

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

782 : 1, 2, 17, 23, 34, 46, 391, 782

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,660,782,714, is 2.

Now, the common factors can be found like this.

726:2x 3x 11x 11

660:2x 2x 3x 5x 11

782:2x 17x 23

714:2x 3x 7x 17

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 3x 11x 17 = 6732

Therefore, the value for common factors is 6732.

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 = 267538027680/(2x6732)

LCM = 267538027680/13464

LCM = 19870620

Thus, we can understand that the LCM of 726,660,782,714 is 19870620.

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

• LCM of 730, 998, 772, 239
• LCM of 229, 752, 499, 956
• LCM of 737, 978, 746, 877
• LCM of 361, 847, 419, 304
• LCM of 415, 348, 855, 183

1. What is the LCM of 726, 660, 782, 714?

Answer: LCM of 726, 660, 782, 714 is 19870620.

2. How to calculate the LCM of 726, 660, 782, 714?

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, 660, 782, 714.

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}.