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LCM of 251, 987, 825

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


Find the LCM of 251, 987, 825 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 251, 987, 825. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 251,987,825

Given numbers are 251,987,825

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

The LCM of 251,987,825 is 68127675.

Find LCM of 251,987,825 with Prime Factorization


3 251, 987, 825
251, 329, 275

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

3 x 251 x 329 x 275 = 68127675

Therefore, the lowest common multiple of 251,987,825 is 68127675.

LCM Formula to Find Lowest Common Multiple of 251,987,825

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.

251 x 987 x 825 = 204383025

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.

251 : 1, 251

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,987,825, is 1.

Now, the common factors can be found like this.

251:251

987:3x 7x 47

825:3x 5x 5x 11

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

3 = 3

Therefore, the value for common factors is 3.

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 = 204383025/(1x3)

LCM = 204383025/3

LCM = 68127675

Thus, we can understand that the LCM of 251,987,825 is 68127675.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 251, 987, 825

1. What is the LCM of 251, 987, 825?

Answer: LCM of 251, 987, 825 is 68127675.

2. How to calculate the LCM of 251, 987, 825?

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 251, 987, 825.

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}.