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LCM of 209, 153, 323, 440, 432

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


Find the LCM of 209, 153, 323, 440, 432 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 209, 153, 323, 440, 432. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,153,323,440,432

Given numbers are 209,153,323,440,432

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

The LCM of 209,153,323,440,432 is 7674480.

Find LCM of 209,153,323,440,432 with Prime Factorization


2 209, 153, 323, 440, 432
2 209, 153, 323, 220, 216
2 209, 153, 323, 110, 108
3 209, 153, 323, 55, 54
3 209, 51, 323, 55, 18
11 209, 17, 323, 55, 6
17 19, 17, 323, 5, 6
19 19, 1, 19, 5, 6
1, 1, 1, 5, 6

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

2 x 2 x 2 x 3 x 3 x 11 x 17 x 19 x 1 x 1 x 1 x 5 x 6 = 7674480

Therefore, the lowest common multiple of 209,153,323,440,432 is 7674480.

LCM Formula to Find Lowest Common Multiple of 209,153,323,440,432

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.

209 x 153 x 323 x 440 x 432 = 1963254775680

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.

209 : 1, 11, 19, 209

153 : 1, 3, 9, 17, 51, 153

323 : 1, 17, 19, 323

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,153,323,440,432, is 1.

Now, the common factors can be found like this.

209:11x 19

153:3x 3x 17

323:17x 19

440:2x 2x 2x 5x 11

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

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 11x 17x 19 = 255816

Therefore, the value for common factors is 255816.

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 = 1963254775680/(1x255816)

LCM = 1963254775680/255816

LCM = 7674480

Thus, we can understand that the LCM of 209,153,323,440,432 is 7674480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 153, 323, 440, 432

1. What is the LCM of 209, 153, 323, 440, 432?

Answer: LCM of 209, 153, 323, 440, 432 is 7674480.

2. How to calculate the LCM of 209, 153, 323, 440, 432?

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 209, 153, 323, 440, 432.

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}.