LCM of 392, 344, 104, 817, 179
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 392, 344, 104, 817, 179 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 392, 344, 104, 817, 179. So, keep reading to learn more.
Given numbers are 392,344,104,817,179
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,344,104,817,179 is 745254328.
Find LCM of 392,344,104,817,179 with Prime Factorization
| 2 | 392, 344, 104, 817, 179 |
| 2 | 196, 172, 52, 817, 179 |
| 2 | 98, 86, 26, 817, 179 |
| 43 | 49, 43, 13, 817, 179 |
| 49, 1, 13, 19, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 43 x 49 x 1 x 13 x 19 x 179 = 745254328
Therefore, the lowest common multiple of 392,344,104,817,179 is 745254328.
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.
392 x 344 x 104 x 817 x 179 = 2050939910656
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
344 : 1, 2, 4, 8, 43, 86, 172, 344
104 : 1, 2, 4, 8, 13, 26, 52, 104
817 : 1, 19, 43, 817
179 : 1, 179
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,344,104,817,179, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
344:2x 2x 2x 43
104:2x 2x 2x 13
817:19x 43
179:179
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 2x 43 = 2752
Therefore, the value for common factors is 2752.
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 = 2050939910656/(1x2752)
LCM = 2050939910656/2752
LCM = 745254328
Thus, we can understand that the LCM of 392,344,104,817,179 is 745254328.
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FAQs on LCM of 392, 344, 104, 817, 179
1. What is the LCM of 392, 344, 104, 817, 179?
Answer: LCM of 392, 344, 104, 817, 179 is 745254328.
2. How to calculate the LCM of 392, 344, 104, 817, 179?
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 392, 344, 104, 817, 179.
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}.