LCM of 635, 917, 721, 693, 501
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 917, 721, 693, 501 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, 917, 721, 693, 501. So, keep reading to learn more.
Given numbers are 635,917,721,693,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,917,721,693,501 is 991589573205.
Find LCM of 635,917,721,693,501 with Prime Factorization
| 3 | 635, 917, 721, 693, 501 |
| 7 | 635, 917, 721, 231, 167 |
| 635, 131, 103, 33, 167 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 635 x 131 x 103 x 33 x 167 = 991589573205
Therefore, the lowest common multiple of 635,917,721,693,501 is 991589573205.
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 917 x 721 x 693 x 501 = 145763667261135
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
917 : 1, 7, 131, 917
721 : 1, 7, 103, 721
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
501 : 1, 3, 167, 501
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,917,721,693,501, is 1.
Now, the common factors can be found like this.
635:5x 127
917:7x 131
721:7x 103
693:3x 3x 7x 11
501:3x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7 = 147
Therefore, the value for common factors is 147.
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 = 145763667261135/(1x147)
LCM = 145763667261135/147
LCM = 991589573205
Thus, we can understand that the LCM of 635,917,721,693,501 is 991589573205.
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, 917, 721, 693, 501
1. What is the LCM of 635, 917, 721, 693, 501?
Answer: LCM of 635, 917, 721, 693, 501 is 991589573205.
2. How to calculate the LCM of 635, 917, 721, 693, 501?
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, 917, 721, 693, 501.
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}.