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LCM of 311, 366, 595, 595

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


Find the LCM of 311, 366, 595, 595 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, 366, 595, 595. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 311,366,595,595

Given numbers are 311,366,595,595

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

The LCM of 311,366,595,595 is 67726470.

Find LCM of 311,366,595,595 with Prime Factorization


5 311, 366, 595, 595
7 311, 366, 119, 119
17 311, 366, 17, 17
311, 366, 1, 1

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

5 x 7 x 17 x 311 x 366 x 1 x 1 = 67726470

Therefore, the lowest common multiple of 311,366,595,595 is 67726470.

LCM Formula to Find Lowest Common Multiple of 311,366,595,595

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 366 x 595 x 595 = 40297249650

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

366 : 1, 2, 3, 6, 61, 122, 183, 366

595 : 1, 5, 7, 17, 35, 85, 119, 595

595 : 1, 5, 7, 17, 35, 85, 119, 595

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,366,595,595, is 1.

Now, the common factors can be found like this.

311:311

366:2x 3x 61

595:5x 7x 17

595:5x 7x 17

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

5x 7x 17 = 595

Therefore, the value for common factors is 595.

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 = 40297249650/(1x595)

LCM = 40297249650/595

LCM = 67726470

Thus, we can understand that the LCM of 311,366,595,595 is 67726470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 311, 366, 595, 595

1. What is the LCM of 311, 366, 595, 595?

Answer: LCM of 311, 366, 595, 595 is 67726470.

2. How to calculate the LCM of 311, 366, 595, 595?

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, 366, 595, 595.

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}.