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LCM of 538, 585, 845, 174, 545

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


Find the LCM of 538, 585, 845, 174, 545 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 538, 585, 845, 174, 545. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 538,585,845,174,545

Given numbers are 538,585,845,174,545

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

The LCM of 538,585,845,174,545 is 12933199890.

Find LCM of 538,585,845,174,545 with Prime Factorization


2 538, 585, 845, 174, 545
3 269, 585, 845, 87, 545
5 269, 195, 845, 29, 545
13 269, 39, 169, 29, 109
269, 3, 13, 29, 109

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

2 x 3 x 5 x 13 x 269 x 3 x 13 x 29 x 109 = 12933199890

Therefore, the lowest common multiple of 538,585,845,174,545 is 12933199890.

LCM Formula to Find Lowest Common Multiple of 538,585,845,174,545

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.

538 x 585 x 845 x 174 x 545 = 25219739785500

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.

538 : 1, 2, 269, 538

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

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

174 : 1, 2, 3, 6, 29, 58, 87, 174

545 : 1, 5, 109, 545

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,585,845,174,545, is 1.

Now, the common factors can be found like this.

538:2x 269

585:3x 3x 5x 13

845:5x 13x 13

174:2x 3x 29

545:5x 109

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

2x 3x 5x 5x 13 = 1950

Therefore, the value for common factors is 1950.

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 = 25219739785500/(1x1950)

LCM = 25219739785500/1950

LCM = 12933199890

Thus, we can understand that the LCM of 538,585,845,174,545 is 12933199890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 538, 585, 845, 174, 545

1. What is the LCM of 538, 585, 845, 174, 545?

Answer: LCM of 538, 585, 845, 174, 545 is 12933199890.

2. How to calculate the LCM of 538, 585, 845, 174, 545?

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 538, 585, 845, 174, 545.

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}.