LCM of 872, 726, 546, 585, 503
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 872, 726, 546, 585, 503 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 872, 726, 546, 585, 503. So, keep reading to learn more.
Given numbers are 872,726,546,585,503
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,726,546,585,503 is 217332034920.
Find LCM of 872,726,546,585,503 with Prime Factorization
| 2 | 872, 726, 546, 585, 503 |
| 3 | 436, 363, 273, 585, 503 |
| 13 | 436, 121, 91, 195, 503 |
| 436, 121, 7, 15, 503 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 436 x 121 x 7 x 15 x 503 = 217332034920
Therefore, the lowest common multiple of 872,726,546,585,503 is 217332034920.
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.
872 x 726 x 546 x 585 x 503 = 101711392342560
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
503 : 1, 503
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,726,546,585,503, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
726:2x 3x 11x 11
546:2x 3x 7x 13
585:3x 3x 5x 13
503:503
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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 101711392342560/(1x468)
LCM = 101711392342560/468
LCM = 217332034920
Thus, we can understand that the LCM of 872,726,546,585,503 is 217332034920.
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FAQs on LCM of 872, 726, 546, 585, 503
1. What is the LCM of 872, 726, 546, 585, 503?
Answer: LCM of 872, 726, 546, 585, 503 is 217332034920.
2. How to calculate the LCM of 872, 726, 546, 585, 503?
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 872, 726, 546, 585, 503.
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}.