Given numbers are 726,286,110,952,720

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

The LCM of 726,286,110,952,720 is 134774640.

Find LCM of 726,286,110,952,720 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 1 x 13 x 11 x 119 x 6 = 134774640

Therefore, the lowest common multiple of 726,286,110,952,720 is 134774640.

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 286 x 110 x 952 x 720 = 15655422182400

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

110 : 1, 2, 5, 10, 11, 22, 55, 110

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,286,110,952,720, is 2.

Now, the common factors can be found like this.

726:2x 3x 11x 11

286:2x 11x 13

110:2x 5x 11

952:2x 2x 2x 7x 17

720:2x 2x 2x 2x 3x 3x 5

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 2x 3x 5x 11x 11 = 58080

Therefore, the value for common factors is 58080.

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 = 15655422182400/(2x58080)

LCM = 15655422182400/116160

LCM = 134774640

Thus, we can understand that the LCM of 726,286,110,952,720 is 134774640.

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

• LCM of 896, 595, 974, 619, 649
• LCM of 518, 996, 237, 495, 968
• LCM of 831, 428, 271, 979, 789
• LCM of 871, 103, 701, 399, 294
• LCM of 928, 338, 410, 245, 227

1. What is the LCM of 726, 286, 110, 952, 720?

Answer: LCM of 726, 286, 110, 952, 720 is 134774640.

2. How to calculate the LCM of 726, 286, 110, 952, 720?

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, 286, 110, 952, 720.

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}.