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LCM of 311, 565, 283, 517, 253

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


Find the LCM of 311, 565, 283, 517, 253 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 311, 565, 283, 517, 253. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 311,565,283,517,253

Given numbers are 311,565,283,517,253

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

The LCM of 311,565,283,517,253 is 591307859395.

Find LCM of 311,565,283,517,253 with Prime Factorization


11 311, 565, 283, 517, 253
311, 565, 283, 47, 23

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

11 x 311 x 565 x 283 x 47 x 23 = 591307859395

Therefore, the lowest common multiple of 311,565,283,517,253 is 591307859395.

LCM Formula to Find Lowest Common Multiple of 311,565,283,517,253

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.

311 x 565 x 283 x 517 x 253 = 6504386453345

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.

311 : 1, 311

565 : 1, 5, 113, 565

283 : 1, 283

517 : 1, 11, 47, 517

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,565,283,517,253, is 1.

Now, the common factors can be found like this.

311:311

565:5x 113

283:283

517:11x 47

253:11x 23

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

11 = 11

Therefore, the value for common factors is 11.

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 = 6504386453345/(1x11)

LCM = 6504386453345/11

LCM = 591307859395

Thus, we can understand that the LCM of 311,565,283,517,253 is 591307859395.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 311, 565, 283, 517, 253

1. What is the LCM of 311, 565, 283, 517, 253?

Answer: LCM of 311, 565, 283, 517, 253 is 591307859395.

2. How to calculate the LCM of 311, 565, 283, 517, 253?

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 311, 565, 283, 517, 253.

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}.