LCM of 487, 448, 817, 903, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 448, 817, 903, 154 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, 448, 817, 903, 154. So, keep reading to learn more.
Given numbers are 487,448,817,903,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,448,817,903,154 is 5882243136.
Find LCM of 487,448,817,903,154 with Prime Factorization
| 2 | 487, 448, 817, 903, 154 |
| 7 | 487, 224, 817, 903, 77 |
| 43 | 487, 32, 817, 129, 11 |
| 487, 32, 19, 3, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 43 x 487 x 32 x 19 x 3 x 11 = 5882243136
Therefore, the lowest common multiple of 487,448,817,903,154 is 5882243136.
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 448 x 817 x 903 x 154 = 24787772575104
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
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
817 : 1, 19, 43, 817
903 : 1, 3, 7, 21, 43, 129, 301, 903
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,448,817,903,154, is 1.
Now, the common factors can be found like this.
487:487
448:2x 2x 2x 2x 2x 2x 7
817:19x 43
903:3x 7x 43
154:2x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 43 = 4214
Therefore, the value for common factors is 4214.
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 = 24787772575104/(1x4214)
LCM = 24787772575104/4214
LCM = 5882243136
Thus, we can understand that the LCM of 487,448,817,903,154 is 5882243136.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 487, 448, 817, 903, 154
1. What is the LCM of 487, 448, 817, 903, 154?
Answer: LCM of 487, 448, 817, 903, 154 is 5882243136.
2. How to calculate the LCM of 487, 448, 817, 903, 154?
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, 448, 817, 903, 154.
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}.