LCM of 894, 496, 857, 348, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 496, 857, 348, 717 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 894, 496, 857, 348, 717. So, keep reading to learn more.
Given numbers are 894,496,857,348,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,496,857,348,717 is 1316939792304.
Find LCM of 894,496,857,348,717 with Prime Factorization
| 2 | 894, 496, 857, 348, 717 |
| 2 | 447, 248, 857, 174, 717 |
| 3 | 447, 124, 857, 87, 717 |
| 149, 124, 857, 29, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 149 x 124 x 857 x 29 x 239 = 1316939792304
Therefore, the lowest common multiple of 894,496,857,348,717 is 1316939792304.
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.
894 x 496 x 857 x 348 x 717 = 94819665045888
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
857 : 1, 857
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,496,857,348,717, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
496:2x 2x 2x 2x 31
857:857
348:2x 2x 3x 29
717:3x 239
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 3 = 72
Therefore, the value for common factors is 72.
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 = 94819665045888/(1x72)
LCM = 94819665045888/72
LCM = 1316939792304
Thus, we can understand that the LCM of 894,496,857,348,717 is 1316939792304.
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FAQs on LCM of 894, 496, 857, 348, 717
1. What is the LCM of 894, 496, 857, 348, 717?
Answer: LCM of 894, 496, 857, 348, 717 is 1316939792304.
2. How to calculate the LCM of 894, 496, 857, 348, 717?
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 894, 496, 857, 348, 717.
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}.