LCM of 233, 864, 822, 846, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 233, 864, 822, 846, 629 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 233, 864, 822, 846, 629. So, keep reading to learn more.
Given numbers are 233,864,822,846,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 233,864,822,846,629 is 815339971872.
Find LCM of 233,864,822,846,629 with Prime Factorization
| 2 | 233, 864, 822, 846, 629 |
| 3 | 233, 432, 411, 423, 629 |
| 3 | 233, 144, 137, 141, 629 |
| 233, 48, 137, 47, 629 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 233 x 48 x 137 x 47 x 629 = 815339971872
Therefore, the lowest common multiple of 233,864,822,846,629 is 815339971872.
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.
233 x 864 x 822 x 846 x 629 = 88056716962176
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.
233 : 1, 233
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
822 : 1, 2, 3, 6, 137, 274, 411, 822
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,864,822,846,629, is 1.
Now, the common factors can be found like this.
233:233
864:2x 2x 2x 2x 2x 3x 3x 3
822:2x 3x 137
846:2x 3x 3x 47
629:17x 37
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 88056716962176/(1x108)
LCM = 88056716962176/108
LCM = 815339971872
Thus, we can understand that the LCM of 233,864,822,846,629 is 815339971872.
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FAQs on LCM of 233, 864, 822, 846, 629
1. What is the LCM of 233, 864, 822, 846, 629?
Answer: LCM of 233, 864, 822, 846, 629 is 815339971872.
2. How to calculate the LCM of 233, 864, 822, 846, 629?
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 233, 864, 822, 846, 629.
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}.