Given numbers are 726,235,713,772,502

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

The LCM of 726,235,713,772,502 is 11785690687980.

Find LCM of 726,235,713,772,502 with Prime Factorization

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

2 x 363 x 235 x 713 x 386 x 251 = 11785690687980

Therefore, the lowest common multiple of 726,235,713,772,502 is 11785690687980.

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 235 x 713 x 772 x 502 = 47142762751920

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

235 : 1, 5, 47, 235

713 : 1, 23, 31, 713

772 : 1, 2, 4, 193, 386, 772

502 : 1, 2, 251, 502

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,235,713,772,502, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

235:5x 47

713:23x 31

772:2x 2x 193

502:2x 251

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 47142762751920/(1x4)

LCM = 47142762751920/4

LCM = 11785690687980

Thus, we can understand that the LCM of 726,235,713,772,502 is 11785690687980.

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

• LCM of 447, 990, 101, 464, 132
• LCM of 172, 711, 141, 819, 362
• LCM of 543, 214, 210, 991, 439
• LCM of 702, 661, 929, 601, 848
• LCM of 362, 733, 703, 960, 180

1. What is the LCM of 726, 235, 713, 772, 502?

Answer: LCM of 726, 235, 713, 772, 502 is 11785690687980.

2. How to calculate the LCM of 726, 235, 713, 772, 502?

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, 235, 713, 772, 502.

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}.