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LCM of 686, 597, 819, 684

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


Find the LCM of 686, 597, 819, 684 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 686, 597, 819, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 686,597,819,684

Given numbers are 686,597,819,684

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

The LCM of 686,597,819,684 is 606941244.

Find LCM of 686,597,819,684 with Prime Factorization


2 686, 597, 819, 684
3 343, 597, 819, 342
3 343, 199, 273, 114
7 343, 199, 91, 38
49, 199, 13, 38

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

2 x 3 x 3 x 7 x 49 x 199 x 13 x 38 = 606941244

Therefore, the lowest common multiple of 686,597,819,684 is 606941244.

LCM Formula to Find Lowest Common Multiple of 686,597,819,684

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.

686 x 597 x 819 x 684 = 229423790232

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.

686 : 1, 2, 7, 14, 49, 98, 343, 686

597 : 1, 3, 199, 597

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,597,819,684, is 1.

Now, the common factors can be found like this.

686:2x 7x 7x 7

597:3x 199

819:3x 3x 7x 13

684:2x 2x 3x 3x 19

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

2x 3x 3x 3x 7 = 378

Therefore, the value for common factors is 378.

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 = 229423790232/(1x378)

LCM = 229423790232/378

LCM = 606941244

Thus, we can understand that the LCM of 686,597,819,684 is 606941244.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 686, 597, 819, 684

1. What is the LCM of 686, 597, 819, 684?

Answer: LCM of 686, 597, 819, 684 is 606941244.

2. How to calculate the LCM of 686, 597, 819, 684?

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 686, 597, 819, 684.

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}.