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LCM of 371, 205, 283, 287

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


Find the LCM of 371, 205, 283, 287 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 371, 205, 283, 287. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 371,205,283,287

Given numbers are 371,205,283,287

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

The LCM of 371,205,283,287 is 21523565.

Find LCM of 371,205,283,287 with Prime Factorization


7 371, 205, 283, 287
41 53, 205, 283, 41
53, 5, 283, 1

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

7 x 41 x 53 x 5 x 283 x 1 = 21523565

Therefore, the lowest common multiple of 371,205,283,287 is 21523565.

LCM Formula to Find Lowest Common Multiple of 371,205,283,287

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.

371 x 205 x 283 x 287 = 6177263155

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.

371 : 1, 7, 53, 371

205 : 1, 5, 41, 205

283 : 1, 283

287 : 1, 7, 41, 287

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 371,205,283,287, is 1.

Now, the common factors can be found like this.

371:7x 53

205:5x 41

283:283

287:7x 41

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

7x 41 = 287

Therefore, the value for common factors is 287.

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 = 6177263155/(1x287)

LCM = 6177263155/287

LCM = 21523565

Thus, we can understand that the LCM of 371,205,283,287 is 21523565.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 371, 205, 283, 287

1. What is the LCM of 371, 205, 283, 287?

Answer: LCM of 371, 205, 283, 287 is 21523565.

2. How to calculate the LCM of 371, 205, 283, 287?

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 371, 205, 283, 287.

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}.