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LCM of 326, 652, 923, 728

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


Find the LCM of 326, 652, 923, 728 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 326, 652, 923, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,652,923,728

Given numbers are 326,652,923,728

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

The LCM of 326,652,923,728 is 8425144.

Find LCM of 326,652,923,728 with Prime Factorization


2 326, 652, 923, 728
2 163, 326, 923, 364
13 163, 163, 923, 182
163 163, 163, 71, 14
1, 1, 71, 14

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

2 x 2 x 13 x 163 x 1 x 1 x 71 x 14 = 8425144

Therefore, the lowest common multiple of 326,652,923,728 is 8425144.

LCM Formula to Find Lowest Common Multiple of 326,652,923,728

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.

326 x 652 x 923 x 728 = 142823041088

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.

326 : 1, 2, 163, 326

652 : 1, 2, 4, 163, 326, 652

923 : 1, 13, 71, 923

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,652,923,728, is 1.

Now, the common factors can be found like this.

326:2x 163

652:2x 2x 163

923:13x 71

728:2x 2x 2x 7x 13

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 2x 13x 163 = 16952

Therefore, the value for common factors is 16952.

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 = 142823041088/(1x16952)

LCM = 142823041088/16952

LCM = 8425144

Thus, we can understand that the LCM of 326,652,923,728 is 8425144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 652, 923, 728

1. What is the LCM of 326, 652, 923, 728?

Answer: LCM of 326, 652, 923, 728 is 8425144.

2. How to calculate the LCM of 326, 652, 923, 728?

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 326, 652, 923, 728.

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}.