Given numbers are 289,327,800,230,750

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

The LCM of 289,327,800,230,750 is 8694276000.

Find LCM of 289,327,800,230,750 with Prime Factorization

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

2 x 3 x 5 x 5 x 289 x 109 x 16 x 23 x 5 = 8694276000

Therefore, the lowest common multiple of 289,327,800,230,750 is 8694276000.

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.

289 x 327 x 800 x 230 x 750 = 13041414000000

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.

289 : 1, 17, 289

327 : 1, 3, 109, 327

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

230 : 1, 2, 5, 10, 23, 46, 115, 230

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,327,800,230,750, is 1.

Now, the common factors can be found like this.

289:17x 17

327:3x 109

800:2x 2x 2x 2x 2x 5x 5

230:2x 5x 23

750:2x 3x 5x 5x 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 5x 5x 5 = 1500

Therefore, the value for common factors is 1500.

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 = 13041414000000/(1x1500)

LCM = 13041414000000/1500

LCM = 8694276000

Thus, we can understand that the LCM of 289,327,800,230,750 is 8694276000.

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

• LCM of 870, 788, 159, 197, 421
• LCM of 871, 539, 764, 613, 408
• LCM of 904, 131, 653, 274, 828
• LCM of 240, 688, 836, 684, 749
• LCM of 538, 866, 978, 286, 533

1. What is the LCM of 289, 327, 800, 230, 750?

Answer: LCM of 289, 327, 800, 230, 750 is 8694276000.

2. How to calculate the LCM of 289, 327, 800, 230, 750?

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 289, 327, 800, 230, 750.

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}.