LCM of 963, 627, 465, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 627, 465, 341 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 963, 627, 465, 341. So, keep reading to learn more.
Given numbers are 963,627,465,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,627,465,341 is 31196385.
Find LCM of 963,627,465,341 with Prime Factorization
| 3 | 963, 627, 465, 341 |
| 11 | 321, 209, 155, 341 |
| 31 | 321, 19, 155, 31 |
| 321, 19, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 31 x 321 x 19 x 5 x 1 = 31196385
Therefore, the lowest common multiple of 963,627,465,341 is 31196385.
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.
963 x 627 x 465 x 341 = 95741705565
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.
963 : 1, 3, 9, 107, 321, 963
627 : 1, 3, 11, 19, 33, 57, 209, 627
465 : 1, 3, 5, 15, 31, 93, 155, 465
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,627,465,341, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
627:3x 11x 19
465:3x 5x 31
341:11x 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 3x 11x 31 = 3069
Therefore, the value for common factors is 3069.
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 = 95741705565/(1x3069)
LCM = 95741705565/3069
LCM = 31196385
Thus, we can understand that the LCM of 963,627,465,341 is 31196385.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 963, 627, 465, 341
1. What is the LCM of 963, 627, 465, 341?
Answer: LCM of 963, 627, 465, 341 is 31196385.
2. How to calculate the LCM of 963, 627, 465, 341?
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 963, 627, 465, 341.
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}.