LCM of 233, 208, 223, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 233, 208, 223, 120 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, 208, 223, 120. So, keep reading to learn more.
Given numbers are 233,208,223,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 233,208,223,120 is 162112080.
Find LCM of 233,208,223,120 with Prime Factorization
| 2 | 233, 208, 223, 120 |
| 2 | 233, 104, 223, 60 |
| 2 | 233, 52, 223, 30 |
| 233, 26, 223, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 233 x 26 x 223 x 15 = 162112080
Therefore, the lowest common multiple of 233,208,223,120 is 162112080.
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 208 x 223 x 120 = 1296896640
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
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
223 : 1, 223
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,208,223,120, is 1.
Now, the common factors can be found like this.
233:233
208:2x 2x 2x 2x 13
223:223
120:2x 2x 2x 3x 5
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 2 = 8
Therefore, the value for common factors is 8.
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 = 1296896640/(1x8)
LCM = 1296896640/8
LCM = 162112080
Thus, we can understand that the LCM of 233,208,223,120 is 162112080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 233, 208, 223, 120
1. What is the LCM of 233, 208, 223, 120?
Answer: LCM of 233, 208, 223, 120 is 162112080.
2. How to calculate the LCM of 233, 208, 223, 120?
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, 208, 223, 120.
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}.