LCM of 693, 916, 922, 873, 389
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 693, 916, 922, 873, 389 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, 916, 922, 873, 389. So, keep reading to learn more.
Given numbers are 693,916,922,873,389
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,916,922,873,389 is 11042082033444.
Find LCM of 693,916,922,873,389 with Prime Factorization
| 2 | 693, 916, 922, 873, 389 |
| 3 | 693, 458, 461, 873, 389 |
| 3 | 231, 458, 461, 291, 389 |
| 77, 458, 461, 97, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 77 x 458 x 461 x 97 x 389 = 11042082033444
Therefore, the lowest common multiple of 693,916,922,873,389 is 11042082033444.
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 916 x 922 x 873 x 389 = 198757476601992
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
916 : 1, 2, 4, 229, 458, 916
922 : 1, 2, 461, 922
873 : 1, 3, 9, 97, 291, 873
389 : 1, 389
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,916,922,873,389, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
916:2x 2x 229
922:2x 461
873:3x 3x 97
389:389
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 3 = 18
Therefore, the value for common factors is 18.
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 = 198757476601992/(1x18)
LCM = 198757476601992/18
LCM = 11042082033444
Thus, we can understand that the LCM of 693,916,922,873,389 is 11042082033444.
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FAQs on LCM of 693, 916, 922, 873, 389
1. What is the LCM of 693, 916, 922, 873, 389?
Answer: LCM of 693, 916, 922, 873, 389 is 11042082033444.
2. How to calculate the LCM of 693, 916, 922, 873, 389?
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, 916, 922, 873, 389.
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}.