LCM of 827, 840, 984, 973, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 827, 840, 984, 973, 864 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 827, 840, 984, 973, 864. So, keep reading to learn more.
Given numbers are 827,840,984,973,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,840,984,973,864 is 142523327520.
Find LCM of 827,840,984,973,864 with Prime Factorization
| 2 | 827, 840, 984, 973, 864 |
| 2 | 827, 420, 492, 973, 432 |
| 2 | 827, 210, 246, 973, 216 |
| 3 | 827, 105, 123, 973, 108 |
| 7 | 827, 35, 41, 973, 36 |
| 827, 5, 41, 139, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 827 x 5 x 41 x 139 x 36 = 142523327520
Therefore, the lowest common multiple of 827,840,984,973,864 is 142523327520.
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.
827 x 840 x 984 x 973 x 864 = 574654056560640
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.
827 : 1, 827
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
973 : 1, 7, 139, 973
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,840,984,973,864, is 1.
Now, the common factors can be found like this.
827:827
840:2x 2x 2x 3x 5x 7
984:2x 2x 2x 3x 41
973:7x 139
864:2x 2x 2x 2x 2x 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 3x 3x 7 = 4032
Therefore, the value for common factors is 4032.
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 = 574654056560640/(1x4032)
LCM = 574654056560640/4032
LCM = 142523327520
Thus, we can understand that the LCM of 827,840,984,973,864 is 142523327520.
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FAQs on LCM of 827, 840, 984, 973, 864
1. What is the LCM of 827, 840, 984, 973, 864?
Answer: LCM of 827, 840, 984, 973, 864 is 142523327520.
2. How to calculate the LCM of 827, 840, 984, 973, 864?
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 827, 840, 984, 973, 864.
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}.