LCM of 824, 321, 153, 323, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 321, 153, 323, 880 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 824, 321, 153, 323, 880. So, keep reading to learn more.
Given numbers are 824,321,153,323,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,321,153,323,880 is 28193481360.
Find LCM of 824,321,153,323,880 with Prime Factorization
| 2 | 824, 321, 153, 323, 880 |
| 2 | 412, 321, 153, 323, 440 |
| 2 | 206, 321, 153, 323, 220 |
| 3 | 103, 321, 153, 323, 110 |
| 17 | 103, 107, 51, 323, 110 |
| 103, 107, 3, 19, 110 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 103 x 107 x 3 x 19 x 110 = 28193481360
Therefore, the lowest common multiple of 824,321,153,323,880 is 28193481360.
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.
824 x 321 x 153 x 323 x 880 = 11502940394880
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
321 : 1, 3, 107, 321
153 : 1, 3, 9, 17, 51, 153
323 : 1, 17, 19, 323
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,321,153,323,880, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
321:3x 107
153:3x 3x 17
323:17x 19
880:2x 2x 2x 2x 5x 11
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 17 = 408
Therefore, the value for common factors is 408.
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 = 11502940394880/(1x408)
LCM = 11502940394880/408
LCM = 28193481360
Thus, we can understand that the LCM of 824,321,153,323,880 is 28193481360.
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FAQs on LCM of 824, 321, 153, 323, 880
1. What is the LCM of 824, 321, 153, 323, 880?
Answer: LCM of 824, 321, 153, 323, 880 is 28193481360.
2. How to calculate the LCM of 824, 321, 153, 323, 880?
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 824, 321, 153, 323, 880.
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}.