LCM of 635, 957, 765, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 957, 765, 315 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 635, 957, 765, 315. So, keep reading to learn more.
Given numbers are 635,957,765,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,957,765,315 is 216947115.
Find LCM of 635,957,765,315 with Prime Factorization
| 3 | 635, 957, 765, 315 |
| 3 | 635, 319, 255, 105 |
| 5 | 635, 319, 85, 35 |
| 127, 319, 17, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 127 x 319 x 17 x 7 = 216947115
Therefore, the lowest common multiple of 635,957,765,315 is 216947115.
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.
635 x 957 x 765 x 315 = 146439302625
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.
635 : 1, 5, 127, 635
957 : 1, 3, 11, 29, 33, 87, 319, 957
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,957,765,315, is 1.
Now, the common factors can be found like this.
635:5x 127
957:3x 11x 29
765:3x 3x 5x 17
315:3x 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.
3x 3x 3x 5x 5 = 675
Therefore, the value for common factors is 675.
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 = 146439302625/(1x675)
LCM = 146439302625/675
LCM = 216947115
Thus, we can understand that the LCM of 635,957,765,315 is 216947115.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 635, 957, 765, 315
1. What is the LCM of 635, 957, 765, 315?
Answer: LCM of 635, 957, 765, 315 is 216947115.
2. How to calculate the LCM of 635, 957, 765, 315?
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 635, 957, 765, 315.
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}.