LCM of 272, 200, 289, 945, 933
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 272, 200, 289, 945, 933 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 272, 200, 289, 945, 933. So, keep reading to learn more.
Given numbers are 272,200,289,945,933
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 272,200,289,945,933 is 6794852400.
Find LCM of 272,200,289,945,933 with Prime Factorization
| 2 | 272, 200, 289, 945, 933 |
| 2 | 136, 100, 289, 945, 933 |
| 2 | 68, 50, 289, 945, 933 |
| 3 | 34, 25, 289, 945, 933 |
| 5 | 34, 25, 289, 315, 311 |
| 17 | 34, 5, 289, 63, 311 |
| 2, 5, 17, 63, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 17 x 2 x 5 x 17 x 63 x 311 = 6794852400
Therefore, the lowest common multiple of 272,200,289,945,933 is 6794852400.
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.
272 x 200 x 289 x 945 x 933 = 13861498896000
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.
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
289 : 1, 17, 289
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
933 : 1, 3, 311, 933
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,200,289,945,933, is 1.
Now, the common factors can be found like this.
272:2x 2x 2x 2x 17
200:2x 2x 2x 5x 5
289:17x 17
945:3x 3x 3x 5x 7
933:3x 311
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 17 = 2040
Therefore, the value for common factors is 2040.
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 = 13861498896000/(1x2040)
LCM = 13861498896000/2040
LCM = 6794852400
Thus, we can understand that the LCM of 272,200,289,945,933 is 6794852400.
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FAQs on LCM of 272, 200, 289, 945, 933
1. What is the LCM of 272, 200, 289, 945, 933?
Answer: LCM of 272, 200, 289, 945, 933 is 6794852400.
2. How to calculate the LCM of 272, 200, 289, 945, 933?
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 272, 200, 289, 945, 933.
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}.