LCM of 217, 791, 665, 429, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 217, 791, 665, 429, 961 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 217, 791, 665, 429, 961. So, keep reading to learn more.
Given numbers are 217,791,665,429,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,791,665,429,961 is 30979954005.
Find LCM of 217,791,665,429,961 with Prime Factorization
| 7 | 217, 791, 665, 429, 961 |
| 31 | 31, 113, 95, 429, 961 |
| 1, 113, 95, 429, 31 |
Multiply the prime numbers at the bottom and the left side.
7 x 31 x 1 x 113 x 95 x 429 x 31 = 30979954005
Therefore, the lowest common multiple of 217,791,665,429,961 is 30979954005.
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.
217 x 791 x 665 x 429 x 961 = 47058550133595
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.
217 : 1, 7, 31, 217
791 : 1, 7, 113, 791
665 : 1, 5, 7, 19, 35, 95, 133, 665
429 : 1, 3, 11, 13, 33, 39, 143, 429
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,791,665,429,961, is 1.
Now, the common factors can be found like this.
217:7x 31
791:7x 113
665:5x 7x 19
429:3x 11x 13
961:31x 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 7x 31 = 1519
Therefore, the value for common factors is 1519.
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 = 47058550133595/(1x1519)
LCM = 47058550133595/1519
LCM = 30979954005
Thus, we can understand that the LCM of 217,791,665,429,961 is 30979954005.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 217, 791, 665, 429, 961
1. What is the LCM of 217, 791, 665, 429, 961?
Answer: LCM of 217, 791, 665, 429, 961 is 30979954005.
2. How to calculate the LCM of 217, 791, 665, 429, 961?
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 217, 791, 665, 429, 961.
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}.