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LCM of 728, 408, 419, 772

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


Find the LCM of 728, 408, 419, 772 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 728, 408, 419, 772. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 728,408,419,772

Given numbers are 728,408,419,772

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

The LCM of 728,408,419,772 is 3002429976.

Find LCM of 728,408,419,772 with Prime Factorization


2 728, 408, 419, 772
2 364, 204, 419, 386
2 182, 102, 419, 193
91, 51, 419, 193

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

2 x 2 x 2 x 91 x 51 x 419 x 193 = 3002429976

Therefore, the lowest common multiple of 728,408,419,772 is 3002429976.

LCM Formula to Find Lowest Common Multiple of 728,408,419,772

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.

728 x 408 x 419 x 772 = 96077759232

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.

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

419 : 1, 419

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,408,419,772, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

408:2x 2x 2x 3x 17

419:419

772:2x 2x 193

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 2 = 32

Therefore, the value for common factors is 32.

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 = 96077759232/(1x32)

LCM = 96077759232/32

LCM = 3002429976

Thus, we can understand that the LCM of 728,408,419,772 is 3002429976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 728, 408, 419, 772

1. What is the LCM of 728, 408, 419, 772?

Answer: LCM of 728, 408, 419, 772 is 3002429976.

2. How to calculate the LCM of 728, 408, 419, 772?

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 728, 408, 419, 772.

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}.