LCM of 133, 728, 517, 693, 795
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 133, 728, 517, 693, 795 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 133, 728, 517, 693, 795. So, keep reading to learn more.
Given numbers are 133,728,517,693,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,728,517,693,795 is 17055478440.
Find LCM of 133,728,517,693,795 with Prime Factorization
| 3 | 133, 728, 517, 693, 795 |
| 7 | 133, 728, 517, 231, 265 |
| 11 | 19, 104, 517, 33, 265 |
| 19, 104, 47, 3, 265 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 19 x 104 x 47 x 3 x 265 = 17055478440
Therefore, the lowest common multiple of 133,728,517,693,795 is 17055478440.
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.
133 x 728 x 517 x 693 x 795 = 27578708637480
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.
133 : 1, 7, 19, 133
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
517 : 1, 11, 47, 517
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
795 : 1, 3, 5, 15, 53, 159, 265, 795
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,728,517,693,795, is 1.
Now, the common factors can be found like this.
133:7x 19
728:2x 2x 2x 7x 13
517:11x 47
693:3x 3x 7x 11
795:3x 5x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 11 = 1617
Therefore, the value for common factors is 1617.
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 = 27578708637480/(1x1617)
LCM = 27578708637480/1617
LCM = 17055478440
Thus, we can understand that the LCM of 133,728,517,693,795 is 17055478440.
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FAQs on LCM of 133, 728, 517, 693, 795
1. What is the LCM of 133, 728, 517, 693, 795?
Answer: LCM of 133, 728, 517, 693, 795 is 17055478440.
2. How to calculate the LCM of 133, 728, 517, 693, 795?
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 133, 728, 517, 693, 795.
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}.