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LCM of 689, 361, 342, 827, 827

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


Find the LCM of 689, 361, 342, 827, 827 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 689, 361, 342, 827, 827. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,361,342,827,827

Given numbers are 689,361,342,827,827

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

The LCM of 689,361,342,827,827 is 3702579894.

Find LCM of 689,361,342,827,827 with Prime Factorization


19 689, 361, 342, 827, 827
827 689, 19, 18, 827, 827
689, 19, 18, 1, 1

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

19 x 827 x 689 x 19 x 18 x 1 x 1 = 3702579894

Therefore, the lowest common multiple of 689,361,342,827,827 is 3702579894.

LCM Formula to Find Lowest Common Multiple of 689,361,342,827,827

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.

689 x 361 x 342 x 827 x 827 = 58178637874422

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.

689 : 1, 13, 53, 689

361 : 1, 19, 361

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

827 : 1, 827

827 : 1, 827

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,361,342,827,827, is 1.

Now, the common factors can be found like this.

689:13x 53

361:19x 19

342:2x 3x 3x 19

827:827

827:827

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

19x 827 = 15713

Therefore, the value for common factors is 15713.

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 = 58178637874422/(1x15713)

LCM = 58178637874422/15713

LCM = 3702579894

Thus, we can understand that the LCM of 689,361,342,827,827 is 3702579894.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 361, 342, 827, 827

1. What is the LCM of 689, 361, 342, 827, 827?

Answer: LCM of 689, 361, 342, 827, 827 is 3702579894.

2. How to calculate the LCM of 689, 361, 342, 827, 827?

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 689, 361, 342, 827, 827.

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}.