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LCM of 728, 812, 437, 388

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


Find the LCM of 728, 812, 437, 388 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, 812, 437, 388. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 728,812,437,388

Given numbers are 728,812,437,388

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

The LCM of 728,812,437,388 is 894916568.

Find LCM of 728,812,437,388 with Prime Factorization


2 728, 812, 437, 388
2 364, 406, 437, 194
7 182, 203, 437, 97
26, 29, 437, 97

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

2 x 2 x 7 x 26 x 29 x 437 x 97 = 894916568

Therefore, the lowest common multiple of 728,812,437,388 is 894916568.

LCM Formula to Find Lowest Common Multiple of 728,812,437,388

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 812 x 437 x 388 = 100230655616

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

437 : 1, 19, 23, 437

388 : 1, 2, 4, 97, 194, 388

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,812,437,388, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

812:2x 2x 7x 29

437:19x 23

388:2x 2x 97

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 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 100230655616/(1x112)

LCM = 100230655616/112

LCM = 894916568

Thus, we can understand that the LCM of 728,812,437,388 is 894916568.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 728, 812, 437, 388

1. What is the LCM of 728, 812, 437, 388?

Answer: LCM of 728, 812, 437, 388 is 894916568.

2. How to calculate the LCM of 728, 812, 437, 388?

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, 812, 437, 388.

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}.