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LCM of 682, 543, 560, 925

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


Find the LCM of 682, 543, 560, 925 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, 543, 560, 925. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,543,560,925

Given numbers are 682,543,560,925

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

The LCM of 682,543,560,925 is 19182886800.

Find LCM of 682,543,560,925 with Prime Factorization


2 682, 543, 560, 925
5 341, 543, 280, 925
341, 543, 56, 185

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

2 x 5 x 341 x 543 x 56 x 185 = 19182886800

Therefore, the lowest common multiple of 682,543,560,925 is 19182886800.

LCM Formula to Find Lowest Common Multiple of 682,543,560,925

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 543 x 560 x 925 = 191828868000

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

543 : 1, 3, 181, 543

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

925 : 1, 5, 25, 37, 185, 925

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,543,560,925, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

543:3x 181

560:2x 2x 2x 2x 5x 7

925:5x 5x 37

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 191828868000/(1x10)

LCM = 191828868000/10

LCM = 19182886800

Thus, we can understand that the LCM of 682,543,560,925 is 19182886800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 543, 560, 925

1. What is the LCM of 682, 543, 560, 925?

Answer: LCM of 682, 543, 560, 925 is 19182886800.

2. How to calculate the LCM of 682, 543, 560, 925?

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, 543, 560, 925.

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}.