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LCM of 903, 243, 161, 565

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


Find the LCM of 903, 243, 161, 565 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 903, 243, 161, 565. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 903,243,161,565

Given numbers are 903,243,161,565

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

The LCM of 903,243,161,565 is 950493285.

Find LCM of 903,243,161,565 with Prime Factorization


3 903, 243, 161, 565
7 301, 81, 161, 565
43, 81, 23, 565

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

3 x 7 x 43 x 81 x 23 x 565 = 950493285

Therefore, the lowest common multiple of 903,243,161,565 is 950493285.

LCM Formula to Find Lowest Common Multiple of 903,243,161,565

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.

903 x 243 x 161 x 565 = 19960358985

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.

903 : 1, 3, 7, 21, 43, 129, 301, 903

243 : 1, 3, 9, 27, 81, 243

161 : 1, 7, 23, 161

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,243,161,565, is 1.

Now, the common factors can be found like this.

903:3x 7x 43

243:3x 3x 3x 3x 3

161:7x 23

565:5x 113

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

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 19960358985/(1x21)

LCM = 19960358985/21

LCM = 950493285

Thus, we can understand that the LCM of 903,243,161,565 is 950493285.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 903, 243, 161, 565

1. What is the LCM of 903, 243, 161, 565?

Answer: LCM of 903, 243, 161, 565 is 950493285.

2. How to calculate the LCM of 903, 243, 161, 565?

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 903, 243, 161, 565.

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}.