Given numbers are 726,343,668,990

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

The LCM of 726,343,668,990 is 1247580180.

Find LCM of 726,343,668,990 with Prime Factorization

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

2 x 3 x 11 x 11 x 343 x 334 x 15 = 1247580180

Therefore, the lowest common multiple of 726,343,668,990 is 1247580180.

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 343 x 668 x 990 = 164680583760

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

343 : 1, 7, 49, 343

668 : 1, 2, 4, 167, 334, 668

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,343,668,990, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

343:7x 7x 7

668:2x 2x 167

990:2x 3x 3x 5x 11

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 11 = 132

Therefore, the value for common factors is 132.

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 = 164680583760/(1x132)

LCM = 164680583760/132

LCM = 1247580180

Thus, we can understand that the LCM of 726,343,668,990 is 1247580180.

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

• LCM of 664, 692, 812, 986
• LCM of 561, 364, 302, 677
• LCM of 109, 725, 502, 817
• LCM of 191, 795, 969, 794
• LCM of 140, 310, 778, 704

1. What is the LCM of 726, 343, 668, 990?

Answer: LCM of 726, 343, 668, 990 is 1247580180.

2. How to calculate the LCM of 726, 343, 668, 990?

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, 343, 668, 990.

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}.