LCM of 796, 418, 209, 908, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 418, 209, 908, 693 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 796, 418, 209, 908, 693. So, keep reading to learn more.
Given numbers are 796,418,209,908,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,418,209,908,693 is 2379171564.
Find LCM of 796,418,209,908,693 with Prime Factorization
| 2 | 796, 418, 209, 908, 693 |
| 2 | 398, 209, 209, 454, 693 |
| 11 | 199, 209, 209, 227, 693 |
| 19 | 199, 19, 19, 227, 63 |
| 199, 1, 1, 227, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 199 x 1 x 1 x 227 x 63 = 2379171564
Therefore, the lowest common multiple of 796,418,209,908,693 is 2379171564.
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.
796 x 418 x 209 x 908 x 693 = 43757723405088
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.
796 : 1, 2, 4, 199, 398, 796
418 : 1, 2, 11, 19, 22, 38, 209, 418
209 : 1, 11, 19, 209
908 : 1, 2, 4, 227, 454, 908
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,418,209,908,693, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
418:2x 11x 19
209:11x 19
908:2x 2x 227
693:3x 3x 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.
2x 2x 2x 11x 11x 19 = 18392
Therefore, the value for common factors is 18392.
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 = 43757723405088/(1x18392)
LCM = 43757723405088/18392
LCM = 2379171564
Thus, we can understand that the LCM of 796,418,209,908,693 is 2379171564.
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FAQs on LCM of 796, 418, 209, 908, 693
1. What is the LCM of 796, 418, 209, 908, 693?
Answer: LCM of 796, 418, 209, 908, 693 is 2379171564.
2. How to calculate the LCM of 796, 418, 209, 908, 693?
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 796, 418, 209, 908, 693.
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}.