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LCM of 589, 529, 506, 168, 352

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


Find the LCM of 589, 529, 506, 168, 352 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 589, 529, 506, 168, 352. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 589,529,506,168,352

Given numbers are 589,529,506,168,352

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

The LCM of 589,529,506,168,352 is 2303206752.

Find LCM of 589,529,506,168,352 with Prime Factorization


2 589, 529, 506, 168, 352
2 589, 529, 253, 84, 176
2 589, 529, 253, 42, 88
11 589, 529, 253, 21, 44
23 589, 529, 23, 21, 4
589, 1, 23, 21, 4

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

2 x 2 x 2 x 11 x 23 x 589 x 1 x 23 x 21 x 4 = 2303206752

Therefore, the lowest common multiple of 589,529,506,168,352 is 2303206752.

LCM Formula to Find Lowest Common Multiple of 589,529,506,168,352

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.

589 x 529 x 506 x 168 x 352 = 9323380932096

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.

589 : 1, 19, 31, 589

529 : 1, 23, 529

506 : 1, 2, 11, 22, 23, 46, 253, 506

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,529,506,168,352, is 1.

Now, the common factors can be found like this.

589:19x 31

529:23x 23

506:2x 11x 23

168:2x 2x 2x 3x 7

352:2x 2x 2x 2x 2x 11

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

2x 2x 2x 2x 11x 23 = 4048

Therefore, the value for common factors is 4048.

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 = 9323380932096/(1x4048)

LCM = 9323380932096/4048

LCM = 2303206752

Thus, we can understand that the LCM of 589,529,506,168,352 is 2303206752.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 589, 529, 506, 168, 352

1. What is the LCM of 589, 529, 506, 168, 352?

Answer: LCM of 589, 529, 506, 168, 352 is 2303206752.

2. How to calculate the LCM of 589, 529, 506, 168, 352?

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 589, 529, 506, 168, 352.

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}.