Given numbers are 726,586,990,714

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

The LCM of 726,586,990,714 is 379701630.

Find LCM of 726,586,990,714 with Prime Factorization

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

2 x 3 x 11 x 11 x 293 x 15 x 119 = 379701630

Therefore, the lowest common multiple of 726,586,990,714 is 379701630.

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 586 x 990 x 714 = 300723690960

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

586 : 1, 2, 293, 586

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 726,586,990,714, is 2.

Now, the common factors can be found like this.

726:2x 3x 11x 11

586:2x 293

990:2x 3x 3x 5x 11

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 11 = 396

Therefore, the value for common factors is 396.

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 = 300723690960/(2x396)

LCM = 300723690960/792

LCM = 379701630

Thus, we can understand that the LCM of 726,586,990,714 is 379701630.

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

• LCM of 954, 693, 542, 185
• LCM of 658, 707, 653, 909
• LCM of 164, 200, 574, 379
• LCM of 300, 479, 179, 823
• LCM of 106, 360, 134, 782

1. What is the LCM of 726, 586, 990, 714?

Answer: LCM of 726, 586, 990, 714 is 379701630.

2. How to calculate the LCM of 726, 586, 990, 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, 586, 990, 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}.