Given numbers are 727,498,498,960

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

The LCM of 727,498,498,960 is 57927360.

Find LCM of 727,498,498,960 with Prime Factorization

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

2 x 3 x 83 x 727 x 1 x 1 x 160 = 57927360

Therefore, the lowest common multiple of 727,498,498,960 is 57927360.

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.

727 x 498 x 498 x 960 = 173086951680

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.

727 : 1, 727

498 : 1, 2, 3, 6, 83, 166, 249, 498

498 : 1, 2, 3, 6, 83, 166, 249, 498

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,498,498,960, is 1.

Now, the common factors can be found like this.

727:727

498:2x 3x 83

498:2x 3x 83

960:2x 2x 2x 2x 2x 2x 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 3x 3x 83 = 2988

Therefore, the value for common factors is 2988.

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 = 173086951680/(1x2988)

LCM = 173086951680/2988

LCM = 57927360

Thus, we can understand that the LCM of 727,498,498,960 is 57927360.

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

• LCM of 971, 326, 514, 945
• LCM of 488, 119, 494, 650
• LCM of 408, 820, 632, 550
• LCM of 347, 551, 903, 649
• LCM of 763, 753, 190, 764

1. What is the LCM of 727, 498, 498, 960?

Answer: LCM of 727, 498, 498, 960 is 57927360.

2. How to calculate the LCM of 727, 498, 498, 960?

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 727, 498, 498, 960.

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}.