LCM of 909, 403, 945, 961, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 403, 945, 961, 686 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 909, 403, 945, 961, 686. So, keep reading to learn more.
Given numbers are 909,403,945,961,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,403,945,961,686 is 116854649730.
Find LCM of 909,403,945,961,686 with Prime Factorization
| 3 | 909, 403, 945, 961, 686 |
| 3 | 303, 403, 315, 961, 686 |
| 7 | 101, 403, 105, 961, 686 |
| 31 | 101, 403, 15, 961, 98 |
| 101, 13, 15, 31, 98 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 31 x 101 x 13 x 15 x 31 x 98 = 116854649730
Therefore, the lowest common multiple of 909,403,945,961,686 is 116854649730.
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.
909 x 403 x 945 x 961 x 686 = 228217130922690
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.
909 : 1, 3, 9, 101, 303, 909
403 : 1, 13, 31, 403
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
961 : 1, 31, 961
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,403,945,961,686, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
403:13x 31
945:3x 3x 3x 5x 7
961:31x 31
686:2x 7x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 31 = 1953
Therefore, the value for common factors is 1953.
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 = 228217130922690/(1x1953)
LCM = 228217130922690/1953
LCM = 116854649730
Thus, we can understand that the LCM of 909,403,945,961,686 is 116854649730.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 909, 403, 945, 961, 686
1. What is the LCM of 909, 403, 945, 961, 686?
Answer: LCM of 909, 403, 945, 961, 686 is 116854649730.
2. How to calculate the LCM of 909, 403, 945, 961, 686?
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 909, 403, 945, 961, 686.
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}.