LCM of 469, 675, 966, 102, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 469, 675, 966, 102, 686 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 469, 675, 966, 102, 686. So, keep reading to learn more.
Given numbers are 469,675,966,102,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,675,966,102,686 is 12130520850.
Find LCM of 469,675,966,102,686 with Prime Factorization
| 2 | 469, 675, 966, 102, 686 |
| 3 | 469, 675, 483, 51, 343 |
| 7 | 469, 225, 161, 17, 343 |
| 67, 225, 23, 17, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 67 x 225 x 23 x 17 x 49 = 12130520850
Therefore, the lowest common multiple of 469,675,966,102,686 is 12130520850.
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.
469 x 675 x 966 x 102 x 686 = 21398238779400
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.
469 : 1, 7, 67, 469
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
102 : 1, 2, 3, 6, 17, 34, 51, 102
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,675,966,102,686, is 1.
Now, the common factors can be found like this.
469:7x 67
675:3x 3x 3x 5x 5
966:2x 3x 7x 23
102:2x 3x 17
686:2x 7x 7x 7
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 3x 3x 7x 7 = 1764
Therefore, the value for common factors is 1764.
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 = 21398238779400/(1x1764)
LCM = 21398238779400/1764
LCM = 12130520850
Thus, we can understand that the LCM of 469,675,966,102,686 is 12130520850.
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FAQs on LCM of 469, 675, 966, 102, 686
1. What is the LCM of 469, 675, 966, 102, 686?
Answer: LCM of 469, 675, 966, 102, 686 is 12130520850.
2. How to calculate the LCM of 469, 675, 966, 102, 686?
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 469, 675, 966, 102, 686.
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}.