LCM of 285, 424, 288, 795, 292
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 285, 424, 288, 795, 292 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 285, 424, 288, 795, 292. So, keep reading to learn more.
Given numbers are 285,424,288,795,292
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,424,288,795,292 is 105855840.
Find LCM of 285,424,288,795,292 with Prime Factorization
| 2 | 285, 424, 288, 795, 292 |
| 2 | 285, 212, 144, 795, 146 |
| 2 | 285, 106, 72, 795, 73 |
| 3 | 285, 53, 36, 795, 73 |
| 5 | 95, 53, 12, 265, 73 |
| 53 | 19, 53, 12, 53, 73 |
| 19, 1, 12, 1, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 53 x 19 x 1 x 12 x 1 x 73 = 105855840
Therefore, the lowest common multiple of 285,424,288,795,292 is 105855840.
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.
285 x 424 x 288 x 795 x 292 = 8078917708800
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
424 : 1, 2, 4, 8, 53, 106, 212, 424
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
795 : 1, 3, 5, 15, 53, 159, 265, 795
292 : 1, 2, 4, 73, 146, 292
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,424,288,795,292, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
424:2x 2x 2x 53
288:2x 2x 2x 2x 2x 3x 3
795:3x 5x 53
292:2x 2x 73
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 2x 2x 3x 3x 5x 53 = 76320
Therefore, the value for common factors is 76320.
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 = 8078917708800/(1x76320)
LCM = 8078917708800/76320
LCM = 105855840
Thus, we can understand that the LCM of 285,424,288,795,292 is 105855840.
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FAQs on LCM of 285, 424, 288, 795, 292
1. What is the LCM of 285, 424, 288, 795, 292?
Answer: LCM of 285, 424, 288, 795, 292 is 105855840.
2. How to calculate the LCM of 285, 424, 288, 795, 292?
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 285, 424, 288, 795, 292.
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}.