LCM of 487, 231, 728, 770, 458
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 231, 728, 770, 458 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 487, 231, 728, 770, 458. So, keep reading to learn more.
Given numbers are 487,231,728,770,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,231,728,770,458 is 13396142760.
Find LCM of 487,231,728,770,458 with Prime Factorization
| 2 | 487, 231, 728, 770, 458 |
| 7 | 487, 231, 364, 385, 229 |
| 11 | 487, 33, 52, 55, 229 |
| 487, 3, 52, 5, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 487 x 3 x 52 x 5 x 229 = 13396142760
Therefore, the lowest common multiple of 487,231,728,770,458 is 13396142760.
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.
487 x 231 x 728 x 770 x 458 = 28882083790560
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.
487 : 1, 487
231 : 1, 3, 7, 11, 21, 33, 77, 231
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
458 : 1, 2, 229, 458
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,231,728,770,458, is 1.
Now, the common factors can be found like this.
487:487
231:3x 7x 11
728:2x 2x 2x 7x 13
770:2x 5x 7x 11
458:2x 229
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 7x 7x 11 = 2156
Therefore, the value for common factors is 2156.
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 = 28882083790560/(1x2156)
LCM = 28882083790560/2156
LCM = 13396142760
Thus, we can understand that the LCM of 487,231,728,770,458 is 13396142760.
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FAQs on LCM of 487, 231, 728, 770, 458
1. What is the LCM of 487, 231, 728, 770, 458?
Answer: LCM of 487, 231, 728, 770, 458 is 13396142760.
2. How to calculate the LCM of 487, 231, 728, 770, 458?
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 487, 231, 728, 770, 458.
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}.