LCM of 546, 815, 805, 717, 239
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 815, 805, 717, 239 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 546, 815, 805, 717, 239. So, keep reading to learn more.
Given numbers are 546,815,805,717,239
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,815,805,717,239 is 2446110030.
Find LCM of 546,815,805,717,239 with Prime Factorization
| 3 | 546, 815, 805, 717, 239 |
| 5 | 182, 815, 805, 239, 239 |
| 7 | 182, 163, 161, 239, 239 |
| 239 | 26, 163, 23, 239, 239 |
| 26, 163, 23, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 239 x 26 x 163 x 23 x 1 x 1 = 2446110030
Therefore, the lowest common multiple of 546,815,805,717,239 is 2446110030.
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.
546 x 815 x 805 x 717 x 239 = 61385131202850
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
815 : 1, 5, 163, 815
805 : 1, 5, 7, 23, 35, 115, 161, 805
717 : 1, 3, 239, 717
239 : 1, 239
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,815,805,717,239, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
815:5x 163
805:5x 7x 23
717:3x 239
239:239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 239 = 25095
Therefore, the value for common factors is 25095.
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 = 61385131202850/(1x25095)
LCM = 61385131202850/25095
LCM = 2446110030
Thus, we can understand that the LCM of 546,815,805,717,239 is 2446110030.
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FAQs on LCM of 546, 815, 805, 717, 239
1. What is the LCM of 546, 815, 805, 717, 239?
Answer: LCM of 546, 815, 805, 717, 239 is 2446110030.
2. How to calculate the LCM of 546, 815, 805, 717, 239?
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 546, 815, 805, 717, 239.
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}.