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LCM of 203, 728, 922, 927

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


Find the LCM of 203, 728, 922, 927 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 203, 728, 922, 927. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 203,728,922,927

Given numbers are 203,728,922,927

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

The LCM of 203,728,922,927 is 9022149864.

Find LCM of 203,728,922,927 with Prime Factorization


2 203, 728, 922, 927
7 203, 364, 461, 927
29, 52, 461, 927

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

2 x 7 x 29 x 52 x 461 x 927 = 9022149864

Therefore, the lowest common multiple of 203,728,922,927 is 9022149864.

LCM Formula to Find Lowest Common Multiple of 203,728,922,927

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.

203 x 728 x 922 x 927 = 126310098096

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.

203 : 1, 7, 29, 203

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

922 : 1, 2, 461, 922

927 : 1, 3, 9, 103, 309, 927

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,728,922,927, is 1.

Now, the common factors can be found like this.

203:7x 29

728:2x 2x 2x 7x 13

922:2x 461

927:3x 3x 103

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 126310098096/(1x14)

LCM = 126310098096/14

LCM = 9022149864

Thus, we can understand that the LCM of 203,728,922,927 is 9022149864.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 203, 728, 922, 927

1. What is the LCM of 203, 728, 922, 927?

Answer: LCM of 203, 728, 922, 927 is 9022149864.

2. How to calculate the LCM of 203, 728, 922, 927?

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 203, 728, 922, 927.

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}.