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LCM of 825, 352, 305, 835

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


Find the LCM of 825, 352, 305, 835 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 825, 352, 305, 835. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 825,352,305,835

Given numbers are 825,352,305,835

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

The LCM of 825,352,305,835 is 268936800.

Find LCM of 825,352,305,835 with Prime Factorization


5 825, 352, 305, 835
11 165, 352, 61, 167
15, 32, 61, 167

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

5 x 11 x 15 x 32 x 61 x 167 = 268936800

Therefore, the lowest common multiple of 825,352,305,835 is 268936800.

LCM Formula to Find Lowest Common Multiple of 825,352,305,835

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.

825 x 352 x 305 x 835 = 73957620000

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.

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

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

305 : 1, 5, 61, 305

835 : 1, 5, 167, 835

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,352,305,835, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

352:2x 2x 2x 2x 2x 11

305:5x 61

835:5x 167

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

5x 5x 11 = 275

Therefore, the value for common factors is 275.

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 = 73957620000/(1x275)

LCM = 73957620000/275

LCM = 268936800

Thus, we can understand that the LCM of 825,352,305,835 is 268936800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 825, 352, 305, 835

1. What is the LCM of 825, 352, 305, 835?

Answer: LCM of 825, 352, 305, 835 is 268936800.

2. How to calculate the LCM of 825, 352, 305, 835?

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 825, 352, 305, 835.

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}.