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LCM of 728, 305, 791, 732

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


Find the LCM of 728, 305, 791, 732 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, 305, 791, 732. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 728,305,791,732

Given numbers are 728,305,791,732

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

The LCM of 728,305,791,732 is 75271560.

Find LCM of 728,305,791,732 with Prime Factorization


2 728, 305, 791, 732
2 364, 305, 791, 366
7 182, 305, 791, 183
61 26, 305, 113, 183
26, 5, 113, 3

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

2 x 2 x 7 x 61 x 26 x 5 x 113 x 3 = 75271560

Therefore, the lowest common multiple of 728,305,791,732 is 75271560.

LCM Formula to Find Lowest Common Multiple of 728,305,791,732

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 305 x 791 x 732 = 128563824480

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

305 : 1, 5, 61, 305

791 : 1, 7, 113, 791

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,305,791,732, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

305:5x 61

791:7x 113

732:2x 2x 3x 61

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 7x 61 = 1708

Therefore, the value for common factors is 1708.

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 = 128563824480/(1x1708)

LCM = 128563824480/1708

LCM = 75271560

Thus, we can understand that the LCM of 728,305,791,732 is 75271560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 728, 305, 791, 732

1. What is the LCM of 728, 305, 791, 732?

Answer: LCM of 728, 305, 791, 732 is 75271560.

2. How to calculate the LCM of 728, 305, 791, 732?

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, 305, 791, 732.

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}.