LCM of 293, 546, 468, 280, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 293, 546, 468, 280, 171 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 293, 546, 468, 280, 171. So, keep reading to learn more.
Given numbers are 293,546,468,280,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,546,468,280,171 is 182374920.
Find LCM of 293,546,468,280,171 with Prime Factorization
| 2 | 293, 546, 468, 280, 171 |
| 2 | 293, 273, 234, 140, 171 |
| 3 | 293, 273, 117, 70, 171 |
| 3 | 293, 91, 39, 70, 57 |
| 7 | 293, 91, 13, 70, 19 |
| 13 | 293, 13, 13, 10, 19 |
| 293, 1, 1, 10, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 13 x 293 x 1 x 1 x 10 x 19 = 182374920
Therefore, the lowest common multiple of 293,546,468,280,171 is 182374920.
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.
293 x 546 x 468 x 280 x 171 = 3584761427520
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.
293 : 1, 293
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,546,468,280,171, is 1.
Now, the common factors can be found like this.
293:293
546:2x 3x 7x 13
468:2x 2x 3x 3x 13
280:2x 2x 2x 5x 7
171:3x 3x 19
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 3x 3x 7x 13 = 19656
Therefore, the value for common factors is 19656.
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 = 3584761427520/(1x19656)
LCM = 3584761427520/19656
LCM = 182374920
Thus, we can understand that the LCM of 293,546,468,280,171 is 182374920.
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FAQs on LCM of 293, 546, 468, 280, 171
1. What is the LCM of 293, 546, 468, 280, 171?
Answer: LCM of 293, 546, 468, 280, 171 is 182374920.
2. How to calculate the LCM of 293, 546, 468, 280, 171?
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 293, 546, 468, 280, 171.
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}.