LCM of 713, 615, 859, 369, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 713, 615, 859, 369, 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 713, 615, 859, 369, 217. So, keep reading to learn more.
Given numbers are 713,615,859,369,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 713,615,859,369,217 is 7910011305.
Find LCM of 713,615,859,369,217 with Prime Factorization
| 3 | 713, 615, 859, 369, 217 |
| 31 | 713, 205, 859, 123, 217 |
| 41 | 23, 205, 859, 123, 7 |
| 23, 5, 859, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 31 x 41 x 23 x 5 x 859 x 3 x 7 = 7910011305
Therefore, the lowest common multiple of 713,615,859,369,217 is 7910011305.
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.
713 x 615 x 859 x 369 x 217 = 30160873105965
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.
713 : 1, 23, 31, 713
615 : 1, 3, 5, 15, 41, 123, 205, 615
859 : 1, 859
369 : 1, 3, 9, 41, 123, 369
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,615,859,369,217, is 1.
Now, the common factors can be found like this.
713:23x 31
615:3x 5x 41
859:859
369:3x 3x 41
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.
3x 31x 41 = 3813
Therefore, the value for common factors is 3813.
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 = 30160873105965/(1x3813)
LCM = 30160873105965/3813
LCM = 7910011305
Thus, we can understand that the LCM of 713,615,859,369,217 is 7910011305.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 713, 615, 859, 369, 217
1. What is the LCM of 713, 615, 859, 369, 217?
Answer: LCM of 713, 615, 859, 369, 217 is 7910011305.
2. How to calculate the LCM of 713, 615, 859, 369, 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 713, 615, 859, 369, 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}.