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LCM of 430, 545, 885, 796

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


Find the LCM of 430, 545, 885, 796 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 430, 545, 885, 796. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 430,545,885,796

Given numbers are 430,545,885,796

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

The LCM of 430,545,885,796 is 3301804020.

Find LCM of 430,545,885,796 with Prime Factorization


2 430, 545, 885, 796
5 215, 545, 885, 398
43, 109, 177, 398

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

2 x 5 x 43 x 109 x 177 x 398 = 3301804020

Therefore, the lowest common multiple of 430,545,885,796 is 3301804020.

LCM Formula to Find Lowest Common Multiple of 430,545,885,796

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.

430 x 545 x 885 x 796 = 165090201000

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.

430 : 1, 2, 5, 10, 43, 86, 215, 430

545 : 1, 5, 109, 545

885 : 1, 3, 5, 15, 59, 177, 295, 885

796 : 1, 2, 4, 199, 398, 796

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,545,885,796, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

545:5x 109

885:3x 5x 59

796:2x 2x 199

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

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 165090201000/(1x50)

LCM = 165090201000/50

LCM = 3301804020

Thus, we can understand that the LCM of 430,545,885,796 is 3301804020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 430, 545, 885, 796

1. What is the LCM of 430, 545, 885, 796?

Answer: LCM of 430, 545, 885, 796 is 3301804020.

2. How to calculate the LCM of 430, 545, 885, 796?

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 430, 545, 885, 796.

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}.