LCM of 791, 725, 261, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 791, 725, 261, 217 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 791, 725, 261, 217. So, keep reading to learn more.
Given numbers are 791,725,261,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,725,261,217 is 159999525.
Find LCM of 791,725,261,217 with Prime Factorization
| 7 | 791, 725, 261, 217 |
| 29 | 113, 725, 261, 31 |
| 113, 25, 9, 31 |
Multiply the prime numbers at the bottom and the left side.
7 x 29 x 113 x 25 x 9 x 31 = 159999525
Therefore, the lowest common multiple of 791,725,261,217 is 159999525.
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.
791 x 725 x 261 x 217 = 32479903575
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.
791 : 1, 7, 113, 791
725 : 1, 5, 25, 29, 145, 725
261 : 1, 3, 9, 29, 87, 261
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,725,261,217, is 1.
Now, the common factors can be found like this.
791:7x 113
725:5x 5x 29
261:3x 3x 29
217:7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 29 = 203
Therefore, the value for common factors is 203.
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 = 32479903575/(1x203)
LCM = 32479903575/203
LCM = 159999525
Thus, we can understand that the LCM of 791,725,261,217 is 159999525.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 791, 725, 261, 217
1. What is the LCM of 791, 725, 261, 217?
Answer: LCM of 791, 725, 261, 217 is 159999525.
2. How to calculate the LCM of 791, 725, 261, 217?
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 791, 725, 261, 217.
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}.