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LCM of 500, 109, 522, 432, 309

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


Find the LCM of 500, 109, 522, 432, 309 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 500, 109, 522, 432, 309. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 500,109,522,432,309

Given numbers are 500,109,522,432,309

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

The LCM of 500,109,522,432,309 is 17581482000.

Find LCM of 500,109,522,432,309 with Prime Factorization


2 500, 109, 522, 432, 309
2 250, 109, 261, 216, 309
3 125, 109, 261, 108, 309
3 125, 109, 87, 36, 103
125, 109, 29, 12, 103

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

2 x 2 x 3 x 3 x 125 x 109 x 29 x 12 x 103 = 17581482000

Therefore, the lowest common multiple of 500,109,522,432,309 is 17581482000.

LCM Formula to Find Lowest Common Multiple of 500,109,522,432,309

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.

500 x 109 x 522 x 432 x 309 = 3797600112000

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.

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

109 : 1, 109

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 500,109,522,432,309, is 1.

Now, the common factors can be found like this.

500:2x 2x 5x 5x 5

109:109

522:2x 3x 3x 29

432:2x 2x 2x 2x 3x 3x 3

309:3x 103

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 3797600112000/(1x216)

LCM = 3797600112000/216

LCM = 17581482000

Thus, we can understand that the LCM of 500,109,522,432,309 is 17581482000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 500, 109, 522, 432, 309

1. What is the LCM of 500, 109, 522, 432, 309?

Answer: LCM of 500, 109, 522, 432, 309 is 17581482000.

2. How to calculate the LCM of 500, 109, 522, 432, 309?

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 500, 109, 522, 432, 309.

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}.