LCM of 797, 893, 180, 180, 395
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 893, 180, 180, 395 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 797, 893, 180, 180, 395. So, keep reading to learn more.
Given numbers are 797,893,180,180,395
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,893,180,180,395 is 10120672620.
Find LCM of 797,893,180,180,395 with Prime Factorization
| 2 | 797, 893, 180, 180, 395 |
| 2 | 797, 893, 90, 90, 395 |
| 3 | 797, 893, 45, 45, 395 |
| 3 | 797, 893, 15, 15, 395 |
| 5 | 797, 893, 5, 5, 395 |
| 797, 893, 1, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 797 x 893 x 1 x 1 x 79 = 10120672620
Therefore, the lowest common multiple of 797,893,180,180,395 is 10120672620.
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.
797 x 893 x 180 x 180 x 395 = 9108605358000
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.
797 : 1, 797
893 : 1, 19, 47, 893
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
395 : 1, 5, 79, 395
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,893,180,180,395, is 1.
Now, the common factors can be found like this.
797:797
893:19x 47
180:2x 2x 3x 3x 5
180:2x 2x 3x 3x 5
395:5x 79
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 3x 3x 5x 5 = 900
Therefore, the value for common factors is 900.
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 = 9108605358000/(1x900)
LCM = 9108605358000/900
LCM = 10120672620
Thus, we can understand that the LCM of 797,893,180,180,395 is 10120672620.
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FAQs on LCM of 797, 893, 180, 180, 395
1. What is the LCM of 797, 893, 180, 180, 395?
Answer: LCM of 797, 893, 180, 180, 395 is 10120672620.
2. How to calculate the LCM of 797, 893, 180, 180, 395?
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 797, 893, 180, 180, 395.
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}.