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LCM of 682, 825, 983, 565

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


Find the LCM of 682, 825, 983, 565 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 682, 825, 983, 565. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,825,983,565

Given numbers are 682,825,983,565

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

The LCM of 682,825,983,565 is 5681690850.

Find LCM of 682,825,983,565 with Prime Factorization


5 682, 825, 983, 565
11 682, 165, 983, 113
62, 15, 983, 113

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

5 x 11 x 62 x 15 x 983 x 113 = 5681690850

Therefore, the lowest common multiple of 682,825,983,565 is 5681690850.

LCM Formula to Find Lowest Common Multiple of 682,825,983,565

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.

682 x 825 x 983 x 565 = 312492996750

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

983 : 1, 983

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,825,983,565, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

825:3x 5x 5x 11

983:983

565:5x 113

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

5x 11 = 55

Therefore, the value for common factors is 55.

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 = 312492996750/(1x55)

LCM = 312492996750/55

LCM = 5681690850

Thus, we can understand that the LCM of 682,825,983,565 is 5681690850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 825, 983, 565

1. What is the LCM of 682, 825, 983, 565?

Answer: LCM of 682, 825, 983, 565 is 5681690850.

2. How to calculate the LCM of 682, 825, 983, 565?

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 682, 825, 983, 565.

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}.