LCM of 637, 935, 517, 705, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 637, 935, 517, 705, 923 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 637, 935, 517, 705, 923. So, keep reading to learn more.
Given numbers are 637,935,517,705,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,935,517,705,923 is 5962501545.
Find LCM of 637,935,517,705,923 with Prime Factorization
| 5 | 637, 935, 517, 705, 923 |
| 11 | 637, 187, 517, 141, 923 |
| 13 | 637, 17, 47, 141, 923 |
| 47 | 49, 17, 47, 141, 71 |
| 49, 17, 1, 3, 71 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 13 x 47 x 49 x 17 x 1 x 3 x 71 = 5962501545
Therefore, the lowest common multiple of 637,935,517,705,923 is 5962501545.
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.
637 x 935 x 517 x 705 x 923 = 200369864419725
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.
637 : 1, 7, 13, 49, 91, 637
935 : 1, 5, 11, 17, 55, 85, 187, 935
517 : 1, 11, 47, 517
705 : 1, 3, 5, 15, 47, 141, 235, 705
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,935,517,705,923, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
935:5x 11x 17
517:11x 47
705:3x 5x 47
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 13x 47 = 33605
Therefore, the value for common factors is 33605.
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 = 200369864419725/(1x33605)
LCM = 200369864419725/33605
LCM = 5962501545
Thus, we can understand that the LCM of 637,935,517,705,923 is 5962501545.
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FAQs on LCM of 637, 935, 517, 705, 923
1. What is the LCM of 637, 935, 517, 705, 923?
Answer: LCM of 637, 935, 517, 705, 923 is 5962501545.
2. How to calculate the LCM of 637, 935, 517, 705, 923?
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 637, 935, 517, 705, 923.
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}.