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LCM of 816, 685, 135, 795, 203

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


Find the LCM of 816, 685, 135, 795, 203 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 816, 685, 135, 795, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,685,135,795,203

Given numbers are 816,685,135,795,203

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

The LCM of 816,685,135,795,203 is 54124655760.

Find LCM of 816,685,135,795,203 with Prime Factorization


3 816, 685, 135, 795, 203
5 272, 685, 45, 265, 203
272, 137, 9, 53, 203

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

3 x 5 x 272 x 137 x 9 x 53 x 203 = 54124655760

Therefore, the lowest common multiple of 816,685,135,795,203 is 54124655760.

LCM Formula to Find Lowest Common Multiple of 816,685,135,795,203

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.

816 x 685 x 135 x 795 x 203 = 12178047546000

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

685 : 1, 5, 137, 685

135 : 1, 3, 5, 9, 15, 27, 45, 135

795 : 1, 3, 5, 15, 53, 159, 265, 795

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,685,135,795,203, is 1.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

685:5x 137

135:3x 3x 3x 5

795:3x 5x 53

203:7x 29

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

3x 3x 5x 5 = 225

Therefore, the value for common factors is 225.

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 = 12178047546000/(1x225)

LCM = 12178047546000/225

LCM = 54124655760

Thus, we can understand that the LCM of 816,685,135,795,203 is 54124655760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 685, 135, 795, 203

1. What is the LCM of 816, 685, 135, 795, 203?

Answer: LCM of 816, 685, 135, 795, 203 is 54124655760.

2. How to calculate the LCM of 816, 685, 135, 795, 203?

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 816, 685, 135, 795, 203.

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}.