LCM of 960, 724, 992, 304, 243
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 724, 992, 304, 243 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 960, 724, 992, 304, 243. So, keep reading to learn more.
Given numbers are 960,724,992,304,243
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,724,992,304,243 is 8289915840.
Find LCM of 960,724,992,304,243 with Prime Factorization
| 2 | 960, 724, 992, 304, 243 |
| 2 | 480, 362, 496, 152, 243 |
| 2 | 240, 181, 248, 76, 243 |
| 2 | 120, 181, 124, 38, 243 |
| 2 | 60, 181, 62, 19, 243 |
| 3 | 30, 181, 31, 19, 243 |
| 10, 181, 31, 19, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 10 x 181 x 31 x 19 x 81 = 8289915840
Therefore, the lowest common multiple of 960,724,992,304,243 is 8289915840.
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.
960 x 724 x 992 x 304 x 243 = 50933242920960
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.
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
724 : 1, 2, 4, 181, 362, 724
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
243 : 1, 3, 9, 27, 81, 243
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,724,992,304,243, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
724:2x 2x 181
992:2x 2x 2x 2x 2x 31
304:2x 2x 2x 2x 19
243:3x 3x 3x 3x 3
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 2x 2x 2x 2x 2x 3 = 6144
Therefore, the value for common factors is 6144.
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 = 50933242920960/(1x6144)
LCM = 50933242920960/6144
LCM = 8289915840
Thus, we can understand that the LCM of 960,724,992,304,243 is 8289915840.
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FAQs on LCM of 960, 724, 992, 304, 243
1. What is the LCM of 960, 724, 992, 304, 243?
Answer: LCM of 960, 724, 992, 304, 243 is 8289915840.
2. How to calculate the LCM of 960, 724, 992, 304, 243?
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 960, 724, 992, 304, 243.
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}.