LCM of 959, 820, 217, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 959, 820, 217, 682 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 959, 820, 217, 682. So, keep reading to learn more.
Given numbers are 959,820,217,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,820,217,682 is 268155580.
Find LCM of 959,820,217,682 with Prime Factorization
| 2 | 959, 820, 217, 682 |
| 7 | 959, 410, 217, 341 |
| 31 | 137, 410, 31, 341 |
| 137, 410, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 31 x 137 x 410 x 1 x 11 = 268155580
Therefore, the lowest common multiple of 959,820,217,682 is 268155580.
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.
959 x 820 x 217 x 682 = 116379521720
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.
959 : 1, 7, 137, 959
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
217 : 1, 7, 31, 217
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,820,217,682, is 1.
Now, the common factors can be found like this.
959:7x 137
820:2x 2x 5x 41
217:7x 31
682:2x 11x 31
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 31 = 434
Therefore, the value for common factors is 434.
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 = 116379521720/(1x434)
LCM = 116379521720/434
LCM = 268155580
Thus, we can understand that the LCM of 959,820,217,682 is 268155580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 959, 820, 217, 682
1. What is the LCM of 959, 820, 217, 682?
Answer: LCM of 959, 820, 217, 682 is 268155580.
2. How to calculate the LCM of 959, 820, 217, 682?
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 959, 820, 217, 682.
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}.