LCM of 857, 175, 231, 705, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 857, 175, 231, 705, 768 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 857, 175, 231, 705, 768. So, keep reading to learn more.
Given numbers are 857,175,231,705,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 857,175,231,705,768 is 59548473600.
Find LCM of 857,175,231,705,768 with Prime Factorization
| 3 | 857, 175, 231, 705, 768 |
| 5 | 857, 175, 77, 235, 256 |
| 7 | 857, 35, 77, 47, 256 |
| 857, 5, 11, 47, 256 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 857 x 5 x 11 x 47 x 256 = 59548473600
Therefore, the lowest common multiple of 857,175,231,705,768 is 59548473600.
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.
857 x 175 x 231 x 705 x 768 = 18757769184000
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.
857 : 1, 857
175 : 1, 5, 7, 25, 35, 175
231 : 1, 3, 7, 11, 21, 33, 77, 231
705 : 1, 3, 5, 15, 47, 141, 235, 705
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,175,231,705,768, is 1.
Now, the common factors can be found like this.
857:857
175:5x 5x 7
231:3x 7x 11
705:3x 5x 47
768:2x 2x 2x 2x 2x 2x 2x 2x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 7 = 315
Therefore, the value for common factors is 315.
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 = 18757769184000/(1x315)
LCM = 18757769184000/315
LCM = 59548473600
Thus, we can understand that the LCM of 857,175,231,705,768 is 59548473600.
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FAQs on LCM of 857, 175, 231, 705, 768
1. What is the LCM of 857, 175, 231, 705, 768?
Answer: LCM of 857, 175, 231, 705, 768 is 59548473600.
2. How to calculate the LCM of 857, 175, 231, 705, 768?
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 857, 175, 231, 705, 768.
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}.