LCM of 693, 815, 831, 407, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 693, 815, 831, 407, 616 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 693, 815, 831, 407, 616. So, keep reading to learn more.
Given numbers are 693,815,831,407,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,815,831,407,616 is 46308671640.
Find LCM of 693,815,831,407,616 with Prime Factorization
| 3 | 693, 815, 831, 407, 616 |
| 7 | 231, 815, 277, 407, 616 |
| 11 | 33, 815, 277, 407, 88 |
| 3, 815, 277, 37, 8 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 3 x 815 x 277 x 37 x 8 = 46308671640
Therefore, the lowest common multiple of 693,815,831,407,616 is 46308671640.
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.
693 x 815 x 831 x 407 x 616 = 117670334637240
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.
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
815 : 1, 5, 163, 815
831 : 1, 3, 277, 831
407 : 1, 11, 37, 407
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,815,831,407,616, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
815:5x 163
831:3x 277
407:11x 37
616:2x 2x 2x 7x 11
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 11x 11 = 2541
Therefore, the value for common factors is 2541.
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 = 117670334637240/(1x2541)
LCM = 117670334637240/2541
LCM = 46308671640
Thus, we can understand that the LCM of 693,815,831,407,616 is 46308671640.
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FAQs on LCM of 693, 815, 831, 407, 616
1. What is the LCM of 693, 815, 831, 407, 616?
Answer: LCM of 693, 815, 831, 407, 616 is 46308671640.
2. How to calculate the LCM of 693, 815, 831, 407, 616?
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 693, 815, 831, 407, 616.
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}.