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LCM of 515, 987, 377, 955, 925

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


Find the LCM of 515, 987, 377, 955, 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 515, 987, 377, 955, 925. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 515,987,377,955,925

Given numbers are 515,987,377,955,925

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

The LCM of 515,987,377,955,925 is 6771280854975.

Find LCM of 515,987,377,955,925 with Prime Factorization


5 515, 987, 377, 955, 925
103, 987, 377, 191, 185

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

5 x 103 x 987 x 377 x 191 x 185 = 6771280854975

Therefore, the lowest common multiple of 515,987,377,955,925 is 6771280854975.

LCM Formula to Find Lowest Common Multiple of 515,987,377,955,925

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.

515 x 987 x 377 x 955 x 925 = 169282021374375

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.

515 : 1, 5, 103, 515

987 : 1, 3, 7, 21, 47, 141, 329, 987

377 : 1, 13, 29, 377

955 : 1, 5, 191, 955

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 515,987,377,955,925, is 1.

Now, the common factors can be found like this.

515:5x 103

987:3x 7x 47

377:13x 29

955:5x 191

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.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 169282021374375/(1x25)

LCM = 169282021374375/25

LCM = 6771280854975

Thus, we can understand that the LCM of 515,987,377,955,925 is 6771280854975.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 515, 987, 377, 955, 925

1. What is the LCM of 515, 987, 377, 955, 925?

Answer: LCM of 515, 987, 377, 955, 925 is 6771280854975.

2. How to calculate the LCM of 515, 987, 377, 955, 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 515, 987, 377, 955, 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}.