Given numbers are 726,873,570,320

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

The LCM of 726,873,570,320 is 642248640.

Find LCM of 726,873,570,320 with Prime Factorization

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

2 x 3 x 5 x 121 x 291 x 19 x 32 = 642248640

Therefore, the lowest common multiple of 726,873,570,320 is 642248640.

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 873 x 570 x 320 = 115604755200

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

873 : 1, 3, 9, 97, 291, 873

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,873,570,320, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

873:3x 3x 97

570:2x 3x 5x 19

320:2x 2x 2x 2x 2x 2x 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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 115604755200/(1x180)

LCM = 115604755200/180

LCM = 642248640

Thus, we can understand that the LCM of 726,873,570,320 is 642248640.

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

• LCM of 778, 947, 969, 836
• LCM of 207, 264, 759, 863
• LCM of 566, 538, 217, 453
• LCM of 750, 968, 236, 464
• LCM of 991, 657, 443, 903

1. What is the LCM of 726, 873, 570, 320?

Answer: LCM of 726, 873, 570, 320 is 642248640.

2. How to calculate the LCM of 726, 873, 570, 320?

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, 873, 570, 320.

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}.