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LCM of 246, 696, 327, 580, 728

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


Find the LCM of 246, 696, 327, 580, 728 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 246, 696, 327, 580, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 246,696,327,580,728

Given numbers are 246,696,327,580,728

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

The LCM of 246,696,327,580,728 is 1415242920.

Find LCM of 246,696,327,580,728 with Prime Factorization


2 246, 696, 327, 580, 728
2 123, 348, 327, 290, 364
2 123, 174, 327, 145, 182
3 123, 87, 327, 145, 91
29 41, 29, 109, 145, 91
41, 1, 109, 5, 91

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

2 x 2 x 2 x 3 x 29 x 41 x 1 x 109 x 5 x 91 = 1415242920

Therefore, the lowest common multiple of 246,696,327,580,728 is 1415242920.

LCM Formula to Find Lowest Common Multiple of 246,696,327,580,728

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.

246 x 696 x 327 x 580 x 728 = 23640217735680

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.

246 : 1, 2, 3, 6, 41, 82, 123, 246

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

327 : 1, 3, 109, 327

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,696,327,580,728, is 1.

Now, the common factors can be found like this.

246:2x 3x 41

696:2x 2x 2x 3x 29

327:3x 109

580:2x 2x 5x 29

728:2x 2x 2x 7x 13

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 3x 3x 29 = 16704

Therefore, the value for common factors is 16704.

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 = 23640217735680/(1x16704)

LCM = 23640217735680/16704

LCM = 1415242920

Thus, we can understand that the LCM of 246,696,327,580,728 is 1415242920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 246, 696, 327, 580, 728

1. What is the LCM of 246, 696, 327, 580, 728?

Answer: LCM of 246, 696, 327, 580, 728 is 1415242920.

2. How to calculate the LCM of 246, 696, 327, 580, 728?

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 246, 696, 327, 580, 728.

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}.