LCM of 982, 574, 945, 466, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 982, 574, 945, 466, 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 982, 574, 945, 466, 686. So, keep reading to learn more.
Given numbers are 982,574,945,466,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 982,574,945,466,686 is 434389335030.
Find LCM of 982,574,945,466,686 with Prime Factorization
| 2 | 982, 574, 945, 466, 686 |
| 7 | 491, 287, 945, 233, 343 |
| 491, 41, 135, 233, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 491 x 41 x 135 x 233 x 49 = 434389335030
Therefore, the lowest common multiple of 982,574,945,466,686 is 434389335030.
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.
982 x 574 x 945 x 466 x 686 = 170280619331760
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.
982 : 1, 2, 491, 982
574 : 1, 2, 7, 14, 41, 82, 287, 574
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
466 : 1, 2, 233, 466
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 982,574,945,466,686, is 1.
Now, the common factors can be found like this.
982:2x 491
574:2x 7x 41
945:3x 3x 3x 5x 7
466:2x 233
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 2x 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 170280619331760/(1x392)
LCM = 170280619331760/392
LCM = 434389335030
Thus, we can understand that the LCM of 982,574,945,466,686 is 434389335030.
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FAQs on LCM of 982, 574, 945, 466, 686
1. What is the LCM of 982, 574, 945, 466, 686?
Answer: LCM of 982, 574, 945, 466, 686 is 434389335030.
2. How to calculate the LCM of 982, 574, 945, 466, 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 982, 574, 945, 466, 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}.