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LCM of 843, 234, 728, 459

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


Find the LCM of 843, 234, 728, 459 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 843, 234, 728, 459. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 843,234,728,459

Given numbers are 843,234,728,459

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

The LCM of 843,234,728,459 is 93896712.

Find LCM of 843,234,728,459 with Prime Factorization


2 843, 234, 728, 459
3 843, 117, 364, 459
3 281, 39, 364, 153
13 281, 13, 364, 51
281, 1, 28, 51

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

2 x 3 x 3 x 13 x 281 x 1 x 28 x 51 = 93896712

Therefore, the lowest common multiple of 843,234,728,459 is 93896712.

LCM Formula to Find Lowest Common Multiple of 843,234,728,459

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.

843 x 234 x 728 x 459 = 65915491824

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.

843 : 1, 3, 281, 843

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

459 : 1, 3, 9, 17, 27, 51, 153, 459

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,234,728,459, is 1.

Now, the common factors can be found like this.

843:3x 281

234:2x 3x 3x 13

728:2x 2x 2x 7x 13

459:3x 3x 3x 17

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

2x 3x 3x 3x 13 = 702

Therefore, the value for common factors is 702.

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 = 65915491824/(1x702)

LCM = 65915491824/702

LCM = 93896712

Thus, we can understand that the LCM of 843,234,728,459 is 93896712.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 843, 234, 728, 459

1. What is the LCM of 843, 234, 728, 459?

Answer: LCM of 843, 234, 728, 459 is 93896712.

2. How to calculate the LCM of 843, 234, 728, 459?

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 843, 234, 728, 459.

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}.