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LCM of 728, 257, 300, 825

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


Find the LCM of 728, 257, 300, 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 728, 257, 300, 825. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 728,257,300,825

Given numbers are 728,257,300,825

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

The LCM of 728,257,300,825 is 154354200.

Find LCM of 728,257,300,825 with Prime Factorization


2 728, 257, 300, 825
2 364, 257, 150, 825
3 182, 257, 75, 825
5 182, 257, 25, 275
5 182, 257, 5, 55
182, 257, 1, 11

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

2 x 2 x 3 x 5 x 5 x 182 x 257 x 1 x 11 = 154354200

Therefore, the lowest common multiple of 728,257,300,825 is 154354200.

LCM Formula to Find Lowest Common Multiple of 728,257,300,825

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.

728 x 257 x 300 x 825 = 46306260000

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

257 : 1, 257

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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 728,257,300,825, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

257:257

300:2x 2x 3x 5x 5

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.

2x 2x 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 46306260000/(1x300)

LCM = 46306260000/300

LCM = 154354200

Thus, we can understand that the LCM of 728,257,300,825 is 154354200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 728, 257, 300, 825

1. What is the LCM of 728, 257, 300, 825?

Answer: LCM of 728, 257, 300, 825 is 154354200.

2. How to calculate the LCM of 728, 257, 300, 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 728, 257, 300, 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}.