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LCM of 687, 835, 689, 925

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


Find the LCM of 687, 835, 689, 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 687, 835, 689, 925. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 687,835,689,925

Given numbers are 687,835,689,925

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

The LCM of 687,835,689,925 is 73119659925.

Find LCM of 687,835,689,925 with Prime Factorization


5 687, 835, 689, 925
687, 167, 689, 185

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

5 x 687 x 167 x 689 x 185 = 73119659925

Therefore, the lowest common multiple of 687,835,689,925 is 73119659925.

LCM Formula to Find Lowest Common Multiple of 687,835,689,925

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.

687 x 835 x 689 x 925 = 365598299625

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.

687 : 1, 3, 229, 687

835 : 1, 5, 167, 835

689 : 1, 13, 53, 689

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 687,835,689,925, is 1.

Now, the common factors can be found like this.

687:3x 229

835:5x 167

689:13x 53

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.

5 = 5

Therefore, the value for common factors is 5.

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 = 365598299625/(1x5)

LCM = 365598299625/5

LCM = 73119659925

Thus, we can understand that the LCM of 687,835,689,925 is 73119659925.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 687, 835, 689, 925

1. What is the LCM of 687, 835, 689, 925?

Answer: LCM of 687, 835, 689, 925 is 73119659925.

2. How to calculate the LCM of 687, 835, 689, 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 687, 835, 689, 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}.