LCM of 823, 480, 945, 820, 230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 823, 480, 945, 820, 230 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 823, 480, 945, 820, 230. So, keep reading to learn more.
Given numbers are 823,480,945,820,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 823,480,945,820,230 is 23468931360.
Find LCM of 823,480,945,820,230 with Prime Factorization
| 2 | 823, 480, 945, 820, 230 |
| 2 | 823, 240, 945, 410, 115 |
| 3 | 823, 120, 945, 205, 115 |
| 5 | 823, 40, 315, 205, 115 |
| 823, 8, 63, 41, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 823 x 8 x 63 x 41 x 23 = 23468931360
Therefore, the lowest common multiple of 823,480,945,820,230 is 23468931360.
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.
823 x 480 x 945 x 820 x 230 = 70406794080000
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.
823 : 1, 823
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,480,945,820,230, is 1.
Now, the common factors can be found like this.
823:823
480:2x 2x 2x 2x 2x 3x 5
945:3x 3x 3x 5x 7
820:2x 2x 5x 41
230:2x 5x 23
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 5x 5x 5 = 3000
Therefore, the value for common factors is 3000.
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 = 70406794080000/(1x3000)
LCM = 70406794080000/3000
LCM = 23468931360
Thus, we can understand that the LCM of 823,480,945,820,230 is 23468931360.
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FAQs on LCM of 823, 480, 945, 820, 230
1. What is the LCM of 823, 480, 945, 820, 230?
Answer: LCM of 823, 480, 945, 820, 230 is 23468931360.
2. How to calculate the LCM of 823, 480, 945, 820, 230?
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 823, 480, 945, 820, 230.
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}.