LCM of 389, 600, 693, 434, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 389, 600, 693, 434, 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 389, 600, 693, 434, 161. So, keep reading to learn more.
Given numbers are 389,600,693,434,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 389,600,693,434,161 is 38441680200.
Find LCM of 389,600,693,434,161 with Prime Factorization
| 2 | 389, 600, 693, 434, 161 |
| 3 | 389, 300, 693, 217, 161 |
| 7 | 389, 100, 231, 217, 161 |
| 389, 100, 33, 31, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 389 x 100 x 33 x 31 x 23 = 38441680200
Therefore, the lowest common multiple of 389,600,693,434,161 is 38441680200.
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.
389 x 600 x 693 x 434 x 161 = 11301853978800
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.
389 : 1, 389
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
434 : 1, 2, 7, 14, 31, 62, 217, 434
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,600,693,434,161, is 1.
Now, the common factors can be found like this.
389:389
600:2x 2x 2x 3x 5x 5
693:3x 3x 7x 11
434:2x 7x 31
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 3x 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 11301853978800/(1x294)
LCM = 11301853978800/294
LCM = 38441680200
Thus, we can understand that the LCM of 389,600,693,434,161 is 38441680200.
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FAQs on LCM of 389, 600, 693, 434, 161
1. What is the LCM of 389, 600, 693, 434, 161?
Answer: LCM of 389, 600, 693, 434, 161 is 38441680200.
2. How to calculate the LCM of 389, 600, 693, 434, 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 389, 600, 693, 434, 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}.