LCM of 726, 544, 529, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 544, 529, 368 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 726, 544, 529, 368. So, keep reading to learn more.
Given numbers are 726,544,529,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,544,529,368 is 104462688.
Find LCM of 726,544,529,368 with Prime Factorization
| 2 | 726, 544, 529, 368 |
| 2 | 363, 272, 529, 184 |
| 2 | 363, 136, 529, 92 |
| 2 | 363, 68, 529, 46 |
| 23 | 363, 34, 529, 23 |
| 363, 34, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 363 x 34 x 1 x 23 = 104462688
Therefore, the lowest common multiple of 726,544,529,368 is 104462688.
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.
726 x 544 x 529 x 368 = 76884538368
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
529 : 1, 23, 529
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,544,529,368, is 1.
Now, the common factors can be found like this.
726:2x 3x 11x 11
544:2x 2x 2x 2x 2x 17
529:23x 23
368:2x 2x 2x 2x 23
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 23 = 736
Therefore, the value for common factors is 736.
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 = 76884538368/(1x736)
LCM = 76884538368/736
LCM = 104462688
Thus, we can understand that the LCM of 726,544,529,368 is 104462688.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 726, 544, 529, 368
1. What is the LCM of 726, 544, 529, 368?
Answer: LCM of 726, 544, 529, 368 is 104462688.
2. How to calculate the LCM of 726, 544, 529, 368?
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 726, 544, 529, 368.
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}.