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LCM of 987, 195, 260, 725

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


Find the LCM of 987, 195, 260, 725 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 987, 195, 260, 725. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 987,195,260,725

Given numbers are 987,195,260,725

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

The LCM of 987,195,260,725 is 37209900.

Find LCM of 987,195,260,725 with Prime Factorization


3 987, 195, 260, 725
5 329, 65, 260, 725
13 329, 13, 52, 145
329, 1, 4, 145

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

3 x 5 x 13 x 329 x 1 x 4 x 145 = 37209900

Therefore, the lowest common multiple of 987,195,260,725 is 37209900.

LCM Formula to Find Lowest Common Multiple of 987,195,260,725

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.

987 x 195 x 260 x 725 = 36279652500

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.

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

195 : 1, 3, 5, 13, 15, 39, 65, 195

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

725 : 1, 5, 25, 29, 145, 725

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,195,260,725, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

195:3x 5x 13

260:2x 2x 5x 13

725:5x 5x 29

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

3x 5x 5x 13 = 975

Therefore, the value for common factors is 975.

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 = 36279652500/(1x975)

LCM = 36279652500/975

LCM = 37209900

Thus, we can understand that the LCM of 987,195,260,725 is 37209900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 987, 195, 260, 725

1. What is the LCM of 987, 195, 260, 725?

Answer: LCM of 987, 195, 260, 725 is 37209900.

2. How to calculate the LCM of 987, 195, 260, 725?

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 987, 195, 260, 725.

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}.