LCM of 726, 499, 732, 216, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 499, 732, 216, 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, 499, 732, 216, 987. So, keep reading to learn more.
Given numbers are 726,499,732,216,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,499,732,216,987 is 261737168616.
Find LCM of 726,499,732,216,987 with Prime Factorization
| 2 | 726, 499, 732, 216, 987 |
| 2 | 363, 499, 366, 108, 987 |
| 3 | 363, 499, 183, 54, 987 |
| 121, 499, 61, 18, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 121 x 499 x 61 x 18 x 329 = 261737168616
Therefore, the lowest common multiple of 726,499,732,216,987 is 261737168616.
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 499 x 732 x 216 x 987 = 56535228421056
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
499 : 1, 499
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
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 726,499,732,216,987, is 1.
Now, the common factors can be found like this.
726:2x 3x 11x 11
499:499
732:2x 2x 3x 61
216:2x 2x 2x 3x 3x 3
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 2x 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 56535228421056/(1x216)
LCM = 56535228421056/216
LCM = 261737168616
Thus, we can understand that the LCM of 726,499,732,216,987 is 261737168616.
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FAQs on LCM of 726, 499, 732, 216, 987
1. What is the LCM of 726, 499, 732, 216, 987?
Answer: LCM of 726, 499, 732, 216, 987 is 261737168616.
2. How to calculate the LCM of 726, 499, 732, 216, 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, 499, 732, 216, 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}.