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LCM of 432, 509, 770, 128, 820

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


Find the LCM of 432, 509, 770, 128, 820 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 432, 509, 770, 128, 820. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 432,509,770,128,820

Given numbers are 432,509,770,128,820

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

The LCM of 432,509,770,128,820 is 27767456640.

Find LCM of 432,509,770,128,820 with Prime Factorization


2 432, 509, 770, 128, 820
2 216, 509, 385, 64, 410
2 108, 509, 385, 32, 205
2 54, 509, 385, 16, 205
5 27, 509, 385, 8, 205
27, 509, 77, 8, 41

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

2 x 2 x 2 x 2 x 5 x 27 x 509 x 77 x 8 x 41 = 27767456640

Therefore, the lowest common multiple of 432,509,770,128,820 is 27767456640.

LCM Formula to Find Lowest Common Multiple of 432,509,770,128,820

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.

432 x 509 x 770 x 128 x 820 = 17771172249600

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.

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

509 : 1, 509

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

128 : 1, 2, 4, 8, 16, 32, 64, 128

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,509,770,128,820, is 1.

Now, the common factors can be found like this.

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

509:509

770:2x 5x 7x 11

128:2x 2x 2x 2x 2x 2x 2

820:2x 2x 5x 41

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 2x 2x 2x 5 = 640

Therefore, the value for common factors is 640.

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 = 17771172249600/(1x640)

LCM = 17771172249600/640

LCM = 27767456640

Thus, we can understand that the LCM of 432,509,770,128,820 is 27767456640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 432, 509, 770, 128, 820

1. What is the LCM of 432, 509, 770, 128, 820?

Answer: LCM of 432, 509, 770, 128, 820 is 27767456640.

2. How to calculate the LCM of 432, 509, 770, 128, 820?

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 432, 509, 770, 128, 820.

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}.