LCM of 961, 245, 247, 905, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 245, 247, 905, 105 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 961, 245, 247, 905, 105. So, keep reading to learn more.
Given numbers are 961,245,247,905,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,245,247,905,105 is 31578118845.
Find LCM of 961,245,247,905,105 with Prime Factorization
| 5 | 961, 245, 247, 905, 105 |
| 7 | 961, 49, 247, 181, 21 |
| 961, 7, 247, 181, 3 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 961 x 7 x 247 x 181 x 3 = 31578118845
Therefore, the lowest common multiple of 961,245,247,905,105 is 31578118845.
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.
961 x 245 x 247 x 905 x 105 = 5526170797875
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.
961 : 1, 31, 961
245 : 1, 5, 7, 35, 49, 245
247 : 1, 13, 19, 247
905 : 1, 5, 181, 905
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,245,247,905,105, is 1.
Now, the common factors can be found like this.
961:31x 31
245:5x 7x 7
247:13x 19
905:5x 181
105:3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7 = 175
Therefore, the value for common factors is 175.
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 = 5526170797875/(1x175)
LCM = 5526170797875/175
LCM = 31578118845
Thus, we can understand that the LCM of 961,245,247,905,105 is 31578118845.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 961, 245, 247, 905, 105
1. What is the LCM of 961, 245, 247, 905, 105?
Answer: LCM of 961, 245, 247, 905, 105 is 31578118845.
2. How to calculate the LCM of 961, 245, 247, 905, 105?
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 961, 245, 247, 905, 105.
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}.