LCM of 230, 860, 380, 473, 857
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 860, 380, 473, 857 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 230, 860, 380, 473, 857. So, keep reading to learn more.
Given numbers are 230,860,380,473,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,860,380,473,857 is 3542855140.
Find LCM of 230,860,380,473,857 with Prime Factorization
| 2 | 230, 860, 380, 473, 857 |
| 2 | 115, 430, 190, 473, 857 |
| 5 | 115, 215, 95, 473, 857 |
| 43 | 23, 43, 19, 473, 857 |
| 23, 1, 19, 11, 857 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 43 x 23 x 1 x 19 x 11 x 857 = 3542855140
Therefore, the lowest common multiple of 230,860,380,473,857 is 3542855140.
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.
230 x 860 x 380 x 473 x 857 = 30468554204000
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
473 : 1, 11, 43, 473
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,860,380,473,857, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
860:2x 2x 5x 43
380:2x 2x 5x 19
473:11x 43
857:857
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 5x 5x 43 = 8600
Therefore, the value for common factors is 8600.
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 = 30468554204000/(1x8600)
LCM = 30468554204000/8600
LCM = 3542855140
Thus, we can understand that the LCM of 230,860,380,473,857 is 3542855140.
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FAQs on LCM of 230, 860, 380, 473, 857
1. What is the LCM of 230, 860, 380, 473, 857?
Answer: LCM of 230, 860, 380, 473, 857 is 3542855140.
2. How to calculate the LCM of 230, 860, 380, 473, 857?
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 230, 860, 380, 473, 857.
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}.