LCM of 268, 217, 933, 288, 469
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 217, 933, 288, 469 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 268, 217, 933, 288, 469. So, keep reading to learn more.
Given numbers are 268,217,933,288,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,217,933,288,469 is 1302229152.
Find LCM of 268,217,933,288,469 with Prime Factorization
| 2 | 268, 217, 933, 288, 469 |
| 2 | 134, 217, 933, 144, 469 |
| 3 | 67, 217, 933, 72, 469 |
| 7 | 67, 217, 311, 24, 469 |
| 67 | 67, 31, 311, 24, 67 |
| 1, 31, 311, 24, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 67 x 1 x 31 x 311 x 24 x 1 = 1302229152
Therefore, the lowest common multiple of 268,217,933,288,469 is 1302229152.
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.
268 x 217 x 933 x 288 x 469 = 7328945667456
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.
268 : 1, 2, 4, 67, 134, 268
217 : 1, 7, 31, 217
933 : 1, 3, 311, 933
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,217,933,288,469, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
217:7x 31
933:3x 311
288:2x 2x 2x 2x 2x 3x 3
469:7x 67
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 7x 67 = 5628
Therefore, the value for common factors is 5628.
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 = 7328945667456/(1x5628)
LCM = 7328945667456/5628
LCM = 1302229152
Thus, we can understand that the LCM of 268,217,933,288,469 is 1302229152.
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FAQs on LCM of 268, 217, 933, 288, 469
1. What is the LCM of 268, 217, 933, 288, 469?
Answer: LCM of 268, 217, 933, 288, 469 is 1302229152.
2. How to calculate the LCM of 268, 217, 933, 288, 469?
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 268, 217, 933, 288, 469.
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}.