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LCM of 593, 385, 493, 935, 895

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


Find the LCM of 593, 385, 493, 935, 895 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, 385, 493, 935, 895. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 593,385,493,935,895

Given numbers are 593,385,493,935,895

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

The LCM of 593,385,493,935,895 is 20147231335.

Find LCM of 593,385,493,935,895 with Prime Factorization


5 593, 385, 493, 935, 895
11 593, 77, 493, 187, 179
17 593, 7, 493, 17, 179
593, 7, 29, 1, 179

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

5 x 11 x 17 x 593 x 7 x 29 x 1 x 179 = 20147231335

Therefore, the lowest common multiple of 593,385,493,935,895 is 20147231335.

LCM Formula to Find Lowest Common Multiple of 593,385,493,935,895

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 385 x 493 x 935 x 895 = 94188306491125

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

385 : 1, 5, 7, 11, 35, 55, 77, 385

493 : 1, 17, 29, 493

935 : 1, 5, 11, 17, 55, 85, 187, 935

895 : 1, 5, 179, 895

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 593,385,493,935,895, is 1.

Now, the common factors can be found like this.

593:593

385:5x 7x 11

493:17x 29

935:5x 11x 17

895:5x 179

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

5x 5x 11x 17 = 4675

Therefore, the value for common factors is 4675.

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 = 94188306491125/(1x4675)

LCM = 94188306491125/4675

LCM = 20147231335

Thus, we can understand that the LCM of 593,385,493,935,895 is 20147231335.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 593, 385, 493, 935, 895

1. What is the LCM of 593, 385, 493, 935, 895?

Answer: LCM of 593, 385, 493, 935, 895 is 20147231335.

2. How to calculate the LCM of 593, 385, 493, 935, 895?

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, 385, 493, 935, 895.

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}.