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LCM of 289, 806, 529, 990

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


Find the LCM of 289, 806, 529, 990 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, 806, 529, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 289,806,529,990

Given numbers are 289,806,529,990

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

The LCM of 289,806,529,990 is 60994932570.

Find LCM of 289,806,529,990 with Prime Factorization


2 289, 806, 529, 990
289, 403, 529, 495

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

2 x 289 x 403 x 529 x 495 = 60994932570

Therefore, the lowest common multiple of 289,806,529,990 is 60994932570.

LCM Formula to Find Lowest Common Multiple of 289,806,529,990

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 806 x 529 x 990 = 121989865140

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

806 : 1, 2, 13, 26, 31, 62, 403, 806

529 : 1, 23, 529

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,806,529,990, is 1.

Now, the common factors can be found like this.

289:17x 17

806:2x 13x 31

529:23x 23

990:2x 3x 3x 5x 11

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

2 = 2

Therefore, the value for common factors is 2.

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 = 121989865140/(1x2)

LCM = 121989865140/2

LCM = 60994932570

Thus, we can understand that the LCM of 289,806,529,990 is 60994932570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 289, 806, 529, 990

1. What is the LCM of 289, 806, 529, 990?

Answer: LCM of 289, 806, 529, 990 is 60994932570.

2. How to calculate the LCM of 289, 806, 529, 990?

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, 806, 529, 990.

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}.