LCM of 595, 981, 690, 737, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 981, 690, 737, 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 595, 981, 690, 737, 161. So, keep reading to learn more.
Given numbers are 595,981,690,737,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,981,690,737,161 is 19788427890.
Find LCM of 595,981,690,737,161 with Prime Factorization
| 3 | 595, 981, 690, 737, 161 |
| 5 | 595, 327, 230, 737, 161 |
| 7 | 119, 327, 46, 737, 161 |
| 23 | 17, 327, 46, 737, 23 |
| 17, 327, 2, 737, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 23 x 17 x 327 x 2 x 737 x 1 = 19788427890
Therefore, the lowest common multiple of 595,981,690,737,161 is 19788427890.
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.
595 x 981 x 690 x 737 x 161 = 47789053354350
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.
595 : 1, 5, 7, 17, 35, 85, 119, 595
981 : 1, 3, 9, 109, 327, 981
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
737 : 1, 11, 67, 737
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,981,690,737,161, is 1.
Now, the common factors can be found like this.
595:5x 7x 17
981:3x 3x 109
690:2x 3x 5x 23
737:11x 67
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.
3x 5x 7x 23 = 2415
Therefore, the value for common factors is 2415.
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 = 47789053354350/(1x2415)
LCM = 47789053354350/2415
LCM = 19788427890
Thus, we can understand that the LCM of 595,981,690,737,161 is 19788427890.
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FAQs on LCM of 595, 981, 690, 737, 161
1. What is the LCM of 595, 981, 690, 737, 161?
Answer: LCM of 595, 981, 690, 737, 161 is 19788427890.
2. How to calculate the LCM of 595, 981, 690, 737, 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 595, 981, 690, 737, 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}.