LCM of 517, 144, 247, 312, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 144, 247, 312, 342 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 517, 144, 247, 312, 342. So, keep reading to learn more.
Given numbers are 517,144,247,312,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,144,247,312,342 is 18388656.
Find LCM of 517,144,247,312,342 with Prime Factorization
| 2 | 517, 144, 247, 312, 342 |
| 2 | 517, 72, 247, 156, 171 |
| 2 | 517, 36, 247, 78, 171 |
| 3 | 517, 18, 247, 39, 171 |
| 3 | 517, 6, 247, 13, 57 |
| 13 | 517, 2, 247, 13, 19 |
| 19 | 517, 2, 19, 1, 19 |
| 517, 2, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 19 x 517 x 2 x 1 x 1 x 1 = 18388656
Therefore, the lowest common multiple of 517,144,247,312,342 is 18388656.
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.
517 x 144 x 247 x 312 x 342 = 1962143149824
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.
517 : 1, 11, 47, 517
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
247 : 1, 13, 19, 247
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,144,247,312,342, is 1.
Now, the common factors can be found like this.
517:11x 47
144:2x 2x 2x 2x 3x 3
247:13x 19
312:2x 2x 2x 3x 13
342:2x 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 2x 3x 3x 3x 13x 19 = 106704
Therefore, the value for common factors is 106704.
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 = 1962143149824/(1x106704)
LCM = 1962143149824/106704
LCM = 18388656
Thus, we can understand that the LCM of 517,144,247,312,342 is 18388656.
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FAQs on LCM of 517, 144, 247, 312, 342
1. What is the LCM of 517, 144, 247, 312, 342?
Answer: LCM of 517, 144, 247, 312, 342 is 18388656.
2. How to calculate the LCM of 517, 144, 247, 312, 342?
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 517, 144, 247, 312, 342.
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}.