LCM of 531, 665, 247, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 531, 665, 247, 969 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 531, 665, 247, 969. So, keep reading to learn more.
Given numbers are 531,665,247,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,665,247,969 is 78038415.
Find LCM of 531,665,247,969 with Prime Factorization
| 3 | 531, 665, 247, 969 |
| 19 | 177, 665, 247, 323 |
| 177, 35, 13, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 177 x 35 x 13 x 17 = 78038415
Therefore, the lowest common multiple of 531,665,247,969 is 78038415.
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.
531 x 665 x 247 x 969 = 84515603445
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.
531 : 1, 3, 9, 59, 177, 531
665 : 1, 5, 7, 19, 35, 95, 133, 665
247 : 1, 13, 19, 247
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,665,247,969, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
665:5x 7x 19
247:13x 19
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19x 19 = 1083
Therefore, the value for common factors is 1083.
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 = 84515603445/(1x1083)
LCM = 84515603445/1083
LCM = 78038415
Thus, we can understand that the LCM of 531,665,247,969 is 78038415.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 531, 665, 247, 969
1. What is the LCM of 531, 665, 247, 969?
Answer: LCM of 531, 665, 247, 969 is 78038415.
2. How to calculate the LCM of 531, 665, 247, 969?
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 531, 665, 247, 969.
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}.