Given numbers are 747,900,163,728,873

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

The LCM of 747,900,163,728,873 is 214956869400.

Find LCM of 747,900,163,728,873 with Prime Factorization

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

2 x 2 x 3 x 3 x 83 x 25 x 163 x 182 x 97 = 214956869400

Therefore, the lowest common multiple of 747,900,163,728,873 is 214956869400.

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.

747 x 900 x 163 x 728 x 873 = 69646025685600

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.

747 : 1, 3, 9, 83, 249, 747

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

163 : 1, 163

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,900,163,728,873, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

900:2x 2x 3x 3x 5x 5

163:163

728:2x 2x 2x 7x 13

873:3x 3x 97

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 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 69646025685600/(1x324)

LCM = 69646025685600/324

LCM = 214956869400

Thus, we can understand that the LCM of 747,900,163,728,873 is 214956869400.

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

• LCM of 370, 425, 875, 352, 628
• LCM of 543, 623, 440, 854, 330
• LCM of 314, 331, 443, 437, 366
• LCM of 501, 969, 311, 921, 887
• LCM of 550, 268, 661, 592, 777

1. What is the LCM of 747, 900, 163, 728, 873?

Answer: LCM of 747, 900, 163, 728, 873 is 214956869400.

2. How to calculate the LCM of 747, 900, 163, 728, 873?

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 747, 900, 163, 728, 873.

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}.