LCM of 697, 682, 984, 828, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 682, 984, 828, 161 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 697, 682, 984, 828, 161. So, keep reading to learn more.
Given numbers are 697,682,984,828,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,682,984,828,161 is 2755151784.
Find LCM of 697,682,984,828,161 with Prime Factorization
| 2 | 697, 682, 984, 828, 161 |
| 2 | 697, 341, 492, 414, 161 |
| 3 | 697, 341, 246, 207, 161 |
| 23 | 697, 341, 82, 69, 161 |
| 41 | 697, 341, 82, 3, 7 |
| 17, 341, 2, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 41 x 17 x 341 x 2 x 3 x 7 = 2755151784
Therefore, the lowest common multiple of 697,682,984,828,161 is 2755151784.
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.
697 x 682 x 984 x 828 x 161 = 62354595175488
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.
697 : 1, 17, 41, 697
682 : 1, 2, 11, 22, 31, 62, 341, 682
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,682,984,828,161, is 1.
Now, the common factors can be found like this.
697:17x 41
682:2x 11x 31
984:2x 2x 2x 3x 41
828:2x 2x 3x 3x 23
161:7x 23
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 3x 23x 41 = 22632
Therefore, the value for common factors is 22632.
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 = 62354595175488/(1x22632)
LCM = 62354595175488/22632
LCM = 2755151784
Thus, we can understand that the LCM of 697,682,984,828,161 is 2755151784.
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FAQs on LCM of 697, 682, 984, 828, 161
1. What is the LCM of 697, 682, 984, 828, 161?
Answer: LCM of 697, 682, 984, 828, 161 is 2755151784.
2. How to calculate the LCM of 697, 682, 984, 828, 161?
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 697, 682, 984, 828, 161.
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}.