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LCM of 683, 815, 792, 982

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


Find the LCM of 683, 815, 792, 982 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 683, 815, 792, 982. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 683,815,792,982

Given numbers are 683,815,792,982

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

The LCM of 683,815,792,982 is 216463654440.

Find LCM of 683,815,792,982 with Prime Factorization


2 683, 815, 792, 982
683, 815, 396, 491

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

2 x 683 x 815 x 396 x 491 = 216463654440

Therefore, the lowest common multiple of 683,815,792,982 is 216463654440.

LCM Formula to Find Lowest Common Multiple of 683,815,792,982

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.

683 x 815 x 792 x 982 = 432927308880

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.

683 : 1, 683

815 : 1, 5, 163, 815

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,815,792,982, is 1.

Now, the common factors can be found like this.

683:683

815:5x 163

792:2x 2x 2x 3x 3x 11

982:2x 491

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 = 432927308880/(1x2)

LCM = 432927308880/2

LCM = 216463654440

Thus, we can understand that the LCM of 683,815,792,982 is 216463654440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 683, 815, 792, 982

1. What is the LCM of 683, 815, 792, 982?

Answer: LCM of 683, 815, 792, 982 is 216463654440.

2. How to calculate the LCM of 683, 815, 792, 982?

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 683, 815, 792, 982.

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}.