LCM of 215, 705, 457, 159, 451
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 215, 705, 457, 159, 451 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 215, 705, 457, 159, 451. So, keep reading to learn more.
Given numbers are 215,705,457,159,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 215,705,457,159,451 is 331151086365.
Find LCM of 215,705,457,159,451 with Prime Factorization
| 3 | 215, 705, 457, 159, 451 |
| 5 | 215, 235, 457, 53, 451 |
| 43, 47, 457, 53, 451 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 43 x 47 x 457 x 53 x 451 = 331151086365
Therefore, the lowest common multiple of 215,705,457,159,451 is 331151086365.
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.
215 x 705 x 457 x 159 x 451 = 4967266295475
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.
215 : 1, 5, 43, 215
705 : 1, 3, 5, 15, 47, 141, 235, 705
457 : 1, 457
159 : 1, 3, 53, 159
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,705,457,159,451, is 1.
Now, the common factors can be found like this.
215:5x 43
705:3x 5x 47
457:457
159:3x 53
451:11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 4967266295475/(1x15)
LCM = 4967266295475/15
LCM = 331151086365
Thus, we can understand that the LCM of 215,705,457,159,451 is 331151086365.
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FAQs on LCM of 215, 705, 457, 159, 451
1. What is the LCM of 215, 705, 457, 159, 451?
Answer: LCM of 215, 705, 457, 159, 451 is 331151086365.
2. How to calculate the LCM of 215, 705, 457, 159, 451?
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 215, 705, 457, 159, 451.
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}.