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LCM of 289, 766, 687, 689, 285

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 289, 766, 687, 689, 285 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 289, 766, 687, 689, 285. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 289,766,687,689,285

Given numbers are 289,766,687,689,285

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

The LCM of 289,766,687,689,285 is 9954654161790.

Find LCM of 289,766,687,689,285 with Prime Factorization


3 289, 766, 687, 689, 285
289, 766, 229, 689, 95

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

3 x 289 x 766 x 229 x 689 x 95 = 9954654161790

Therefore, the lowest common multiple of 289,766,687,689,285 is 9954654161790.

LCM Formula to Find Lowest Common Multiple of 289,766,687,689,285

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 766 x 687 x 689 x 285 = 29863962485370

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

766 : 1, 2, 383, 766

687 : 1, 3, 229, 687

689 : 1, 13, 53, 689

285 : 1, 3, 5, 15, 19, 57, 95, 285

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,766,687,689,285, is 1.

Now, the common factors can be found like this.

289:17x 17

766:2x 383

687:3x 229

689:13x 53

285:3x 5x 19

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

3 = 3

Therefore, the value for common factors is 3.

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 = 29863962485370/(1x3)

LCM = 29863962485370/3

LCM = 9954654161790

Thus, we can understand that the LCM of 289,766,687,689,285 is 9954654161790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 289, 766, 687, 689, 285

1. What is the LCM of 289, 766, 687, 689, 285?

Answer: LCM of 289, 766, 687, 689, 285 is 9954654161790.

2. How to calculate the LCM of 289, 766, 687, 689, 285?

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, 766, 687, 689, 285.

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}.