Given numbers are 726,132,652,864

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

The LCM of 726,132,652,864 is 17040672.

Find LCM of 726,132,652,864 with Prime Factorization

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

2 x 2 x 3 x 11 x 1 x 11 x 163 x 72 = 17040672

Therefore, the lowest common multiple of 726,132,652,864 is 17040672.

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 132 x 652 x 864 = 53984848896

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

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

652 : 1, 2, 4, 163, 326, 652

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,132,652,864, is 2.

Now, the common factors can be found like this.

726:2x 3x 11x 11

132:2x 2x 3x 11

652:2x 2x 163

864:2x 2x 2x 2x 2x 3x 3x 3

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 11 = 1584

Therefore, the value for common factors is 1584.

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 = 53984848896/(2x1584)

LCM = 53984848896/3168

LCM = 17040672

Thus, we can understand that the LCM of 726,132,652,864 is 17040672.

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

• LCM of 279, 689, 470, 567
• LCM of 971, 735, 744, 125
• LCM of 409, 549, 461, 890
• LCM of 536, 673, 191, 573
• LCM of 126, 338, 229, 894

1. What is the LCM of 726, 132, 652, 864?

Answer: LCM of 726, 132, 652, 864 is 17040672.

2. How to calculate the LCM of 726, 132, 652, 864?

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, 132, 652, 864.

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}.