LCM of 233, 803, 108, 468, 794
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 233, 803, 108, 468, 794 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, 803, 108, 468, 794. So, keep reading to learn more.
Given numbers are 233,803,108,468,794
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 233,803,108,468,794 is 104286737412.
Find LCM of 233,803,108,468,794 with Prime Factorization
| 2 | 233, 803, 108, 468, 794 |
| 2 | 233, 803, 54, 234, 397 |
| 3 | 233, 803, 27, 117, 397 |
| 3 | 233, 803, 9, 39, 397 |
| 233, 803, 3, 13, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 233 x 803 x 3 x 13 x 397 = 104286737412
Therefore, the lowest common multiple of 233,803,108,468,794 is 104286737412.
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 803 x 108 x 468 x 794 = 7508645093664
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
803 : 1, 11, 73, 803
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
794 : 1, 2, 397, 794
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,803,108,468,794, is 1.
Now, the common factors can be found like this.
233:233
803:11x 73
108:2x 2x 3x 3x 3
468:2x 2x 3x 3x 13
794:2x 397
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 3 = 72
Therefore, the value for common factors is 72.
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 = 7508645093664/(1x72)
LCM = 7508645093664/72
LCM = 104286737412
Thus, we can understand that the LCM of 233,803,108,468,794 is 104286737412.
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FAQs on LCM of 233, 803, 108, 468, 794
1. What is the LCM of 233, 803, 108, 468, 794?
Answer: LCM of 233, 803, 108, 468, 794 is 104286737412.
2. How to calculate the LCM of 233, 803, 108, 468, 794?
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, 803, 108, 468, 794.
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}.