LCM of 707, 308, 998, 552, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 707, 308, 998, 552, 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 707, 308, 998, 552, 682. So, keep reading to learn more.
Given numbers are 707,308,998,552,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,308,998,552,682 is 66406931976.
Find LCM of 707,308,998,552,682 with Prime Factorization
| 2 | 707, 308, 998, 552, 682 |
| 2 | 707, 154, 499, 276, 341 |
| 7 | 707, 77, 499, 138, 341 |
| 11 | 101, 11, 499, 138, 341 |
| 101, 1, 499, 138, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 101 x 1 x 499 x 138 x 31 = 66406931976
Therefore, the lowest common multiple of 707,308,998,552,682 is 66406931976.
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.
707 x 308 x 998 x 552 x 682 = 81813340194432
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.
707 : 1, 7, 101, 707
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
998 : 1, 2, 499, 998
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
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 707,308,998,552,682, is 1.
Now, the common factors can be found like this.
707:7x 101
308:2x 2x 7x 11
998:2x 499
552:2x 2x 2x 3x 23
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 2x 2x 2x 7x 11 = 1232
Therefore, the value for common factors is 1232.
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 = 81813340194432/(1x1232)
LCM = 81813340194432/1232
LCM = 66406931976
Thus, we can understand that the LCM of 707,308,998,552,682 is 66406931976.
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FAQs on LCM of 707, 308, 998, 552, 682
1. What is the LCM of 707, 308, 998, 552, 682?
Answer: LCM of 707, 308, 998, 552, 682 is 66406931976.
2. How to calculate the LCM of 707, 308, 998, 552, 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 707, 308, 998, 552, 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}.