LCM of 597, 973, 308, 466, 536
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 597, 973, 308, 466, 536 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 597, 973, 308, 466, 536. So, keep reading to learn more.
Given numbers are 597,973,308,466,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 597,973,308,466,536 is 797995729608.
Find LCM of 597,973,308,466,536 with Prime Factorization
| 2 | 597, 973, 308, 466, 536 |
| 2 | 597, 973, 154, 233, 268 |
| 7 | 597, 973, 77, 233, 134 |
| 597, 139, 11, 233, 134 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 597 x 139 x 11 x 233 x 134 = 797995729608
Therefore, the lowest common multiple of 597,973,308,466,536 is 797995729608.
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.
597 x 973 x 308 x 466 x 536 = 44687760858048
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.
597 : 1, 3, 199, 597
973 : 1, 7, 139, 973
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
466 : 1, 2, 233, 466
536 : 1, 2, 4, 8, 67, 134, 268, 536
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,973,308,466,536, is 1.
Now, the common factors can be found like this.
597:3x 199
973:7x 139
308:2x 2x 7x 11
466:2x 233
536:2x 2x 2x 67
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 7 = 56
Therefore, the value for common factors is 56.
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 = 44687760858048/(1x56)
LCM = 44687760858048/56
LCM = 797995729608
Thus, we can understand that the LCM of 597,973,308,466,536 is 797995729608.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 597, 973, 308, 466, 536
1. What is the LCM of 597, 973, 308, 466, 536?
Answer: LCM of 597, 973, 308, 466, 536 is 797995729608.
2. How to calculate the LCM of 597, 973, 308, 466, 536?
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 597, 973, 308, 466, 536.
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}.