Given numbers are 720,825,381,867,389

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

The LCM of 720,825,381,867,389 is 565387693200.

Find LCM of 720,825,381,867,389 with Prime Factorization

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

3 x 5 x 48 x 55 x 127 x 289 x 389 = 565387693200

Therefore, the lowest common multiple of 720,825,381,867,389 is 565387693200.

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.

720 x 825 x 381 x 867 x 389 = 76327338582000

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.

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

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

381 : 1, 3, 127, 381

867 : 1, 3, 17, 51, 289, 867

389 : 1, 389

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,825,381,867,389, is 1.

Now, the common factors can be found like this.

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

825:3x 5x 5x 11

381:3x 127

867:3x 17x 17

389:389

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

3x 3x 3x 5 = 135

Therefore, the value for common factors is 135.

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 = 76327338582000/(1x135)

LCM = 76327338582000/135

LCM = 565387693200

Thus, we can understand that the LCM of 720,825,381,867,389 is 565387693200.

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

• LCM of 226, 658, 399, 359, 645
• LCM of 421, 729, 183, 256, 872
• LCM of 670, 233, 200, 623, 377
• LCM of 488, 235, 402, 452, 942
• LCM of 554, 247, 513, 115, 856

1. What is the LCM of 720, 825, 381, 867, 389?

Answer: LCM of 720, 825, 381, 867, 389 is 565387693200.

2. How to calculate the LCM of 720, 825, 381, 867, 389?

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 720, 825, 381, 867, 389.

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}.