LCM of 293, 913, 693, 413, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 293, 913, 693, 413, 689 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 293, 913, 693, 413, 689. So, keep reading to learn more.
Given numbers are 293,913,693,413,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,913,693,413,689 is 685094026617.
Find LCM of 293,913,693,413,689 with Prime Factorization
| 7 | 293, 913, 693, 413, 689 |
| 11 | 293, 913, 99, 59, 689 |
| 293, 83, 9, 59, 689 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 293 x 83 x 9 x 59 x 689 = 685094026617
Therefore, the lowest common multiple of 293,913,693,413,689 is 685094026617.
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.
293 x 913 x 693 x 413 x 689 = 52752240049509
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.
293 : 1, 293
913 : 1, 11, 83, 913
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
413 : 1, 7, 59, 413
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,913,693,413,689, is 1.
Now, the common factors can be found like this.
293:293
913:11x 83
693:3x 3x 7x 11
413:7x 59
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11 = 77
Therefore, the value for common factors is 77.
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 = 52752240049509/(1x77)
LCM = 52752240049509/77
LCM = 685094026617
Thus, we can understand that the LCM of 293,913,693,413,689 is 685094026617.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 293, 913, 693, 413, 689
1. What is the LCM of 293, 913, 693, 413, 689?
Answer: LCM of 293, 913, 693, 413, 689 is 685094026617.
2. How to calculate the LCM of 293, 913, 693, 413, 689?
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 293, 913, 693, 413, 689.
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}.