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LCM of 593, 390, 867, 945, 171

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


Find the LCM of 593, 390, 867, 945, 171 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 593, 390, 867, 945, 171. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 593,390,867,945,171

Given numbers are 593,390,867,945,171

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

The LCM of 593,390,867,945,171 is 80003924910.

Find LCM of 593,390,867,945,171 with Prime Factorization


3 593, 390, 867, 945, 171
3 593, 130, 289, 315, 57
5 593, 130, 289, 105, 19
593, 26, 289, 21, 19

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

3 x 3 x 5 x 593 x 26 x 289 x 21 x 19 = 80003924910

Therefore, the lowest common multiple of 593,390,867,945,171 is 80003924910.

LCM Formula to Find Lowest Common Multiple of 593,390,867,945,171

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.

593 x 390 x 867 x 945 x 171 = 32401589588550

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.

593 : 1, 593

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

867 : 1, 3, 17, 51, 289, 867

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 593,390,867,945,171, is 1.

Now, the common factors can be found like this.

593:593

390:2x 3x 5x 13

867:3x 17x 17

945:3x 3x 3x 5x 7

171:3x 3x 19

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 3x 3x 5 = 405

Therefore, the value for common factors is 405.

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 = 32401589588550/(1x405)

LCM = 32401589588550/405

LCM = 80003924910

Thus, we can understand that the LCM of 593,390,867,945,171 is 80003924910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 593, 390, 867, 945, 171

1. What is the LCM of 593, 390, 867, 945, 171?

Answer: LCM of 593, 390, 867, 945, 171 is 80003924910.

2. How to calculate the LCM of 593, 390, 867, 945, 171?

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 593, 390, 867, 945, 171.

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}.