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LCM of 442, 301, 283, 845, 933

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


Find the LCM of 442, 301, 283, 845, 933 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 442, 301, 283, 845, 933. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,301,283,845,933

Given numbers are 442,301,283,845,933

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

The LCM of 442,301,283,845,933 is 2283337981470.

Find LCM of 442,301,283,845,933 with Prime Factorization


13 442, 301, 283, 845, 933
34, 301, 283, 65, 933

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

13 x 34 x 301 x 283 x 65 x 933 = 2283337981470

Therefore, the lowest common multiple of 442,301,283,845,933 is 2283337981470.

LCM Formula to Find Lowest Common Multiple of 442,301,283,845,933

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.

442 x 301 x 283 x 845 x 933 = 29683393759110

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

301 : 1, 7, 43, 301

283 : 1, 283

845 : 1, 5, 13, 65, 169, 845

933 : 1, 3, 311, 933

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,301,283,845,933, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

301:7x 43

283:283

845:5x 13x 13

933:3x 311

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

13 = 13

Therefore, the value for common factors is 13.

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 = 29683393759110/(1x13)

LCM = 29683393759110/13

LCM = 2283337981470

Thus, we can understand that the LCM of 442,301,283,845,933 is 2283337981470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 301, 283, 845, 933

1. What is the LCM of 442, 301, 283, 845, 933?

Answer: LCM of 442, 301, 283, 845, 933 is 2283337981470.

2. How to calculate the LCM of 442, 301, 283, 845, 933?

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 442, 301, 283, 845, 933.

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}.