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LCM of 728, 683, 512

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


Find the LCM of 728, 683, 512 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, 683, 512. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 728,683,512

Given numbers are 728,683,512

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

The LCM of 728,683,512 is 31822336.

Find LCM of 728,683,512 with Prime Factorization


2 728, 683, 512
2 364, 683, 256
2 182, 683, 128
91, 683, 64

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

2 x 2 x 2 x 91 x 683 x 64 = 31822336

Therefore, the lowest common multiple of 728,683,512 is 31822336.

LCM Formula to Find Lowest Common Multiple of 728,683,512

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 683 x 512 = 254578688

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

683 : 1, 683

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,683,512, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

683:683

512:2x 2x 2x 2x 2x 2x 2x 2x 2

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 2 = 8

Therefore, the value for common factors is 8.

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 = 254578688/(1x8)

LCM = 254578688/8

LCM = 31822336

Thus, we can understand that the LCM of 728,683,512 is 31822336.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 728, 683, 512

1. What is the LCM of 728, 683, 512?

Answer: LCM of 728, 683, 512 is 31822336.

2. How to calculate the LCM of 728, 683, 512?

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, 683, 512.

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}.