LCM of 726, 515, 560, 217, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 515, 560, 217, 987 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, 515, 560, 217, 987. So, keep reading to learn more.
Given numbers are 726,515,560,217,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,515,560,217,987 is 30506432880.
Find LCM of 726,515,560,217,987 with Prime Factorization
| 2 | 726, 515, 560, 217, 987 |
| 3 | 363, 515, 280, 217, 987 |
| 5 | 121, 515, 280, 217, 329 |
| 7 | 121, 103, 56, 217, 329 |
| 121, 103, 8, 31, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 121 x 103 x 8 x 31 x 47 = 30506432880
Therefore, the lowest common multiple of 726,515,560,217,987 is 30506432880.
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 515 x 560 x 217 x 987 = 44844456333600
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
515 : 1, 5, 103, 515
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
217 : 1, 7, 31, 217
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,515,560,217,987, is 1.
Now, the common factors can be found like this.
726:2x 3x 11x 11
515:5x 103
560:2x 2x 2x 2x 5x 7
217:7x 31
987:3x 7x 47
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 5x 7x 7 = 1470
Therefore, the value for common factors is 1470.
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 = 44844456333600/(1x1470)
LCM = 44844456333600/1470
LCM = 30506432880
Thus, we can understand that the LCM of 726,515,560,217,987 is 30506432880.
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FAQs on LCM of 726, 515, 560, 217, 987
1. What is the LCM of 726, 515, 560, 217, 987?
Answer: LCM of 726, 515, 560, 217, 987 is 30506432880.
2. How to calculate the LCM of 726, 515, 560, 217, 987?
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, 515, 560, 217, 987.
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}.