LCM of 697, 741, 205, 923, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 741, 205, 923, 519 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 697, 741, 205, 923, 519. So, keep reading to learn more.
Given numbers are 697,741,205,923,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,741,205,923,519 is 31719434955.
Find LCM of 697,741,205,923,519 with Prime Factorization
| 3 | 697, 741, 205, 923, 519 |
| 13 | 697, 247, 205, 923, 173 |
| 41 | 697, 19, 205, 71, 173 |
| 17, 19, 5, 71, 173 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 41 x 17 x 19 x 5 x 71 x 173 = 31719434955
Therefore, the lowest common multiple of 697,741,205,923,519 is 31719434955.
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.
697 x 741 x 205 x 923 x 519 = 50719376493045
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.
697 : 1, 17, 41, 697
741 : 1, 3, 13, 19, 39, 57, 247, 741
205 : 1, 5, 41, 205
923 : 1, 13, 71, 923
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,741,205,923,519, is 1.
Now, the common factors can be found like this.
697:17x 41
741:3x 13x 19
205:5x 41
923:13x 71
519:3x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 41 = 1599
Therefore, the value for common factors is 1599.
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 = 50719376493045/(1x1599)
LCM = 50719376493045/1599
LCM = 31719434955
Thus, we can understand that the LCM of 697,741,205,923,519 is 31719434955.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 697, 741, 205, 923, 519
1. What is the LCM of 697, 741, 205, 923, 519?
Answer: LCM of 697, 741, 205, 923, 519 is 31719434955.
2. How to calculate the LCM of 697, 741, 205, 923, 519?
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 697, 741, 205, 923, 519.
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}.