LCM of 635, 500, 217, 556, 695
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 500, 217, 556, 695 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, 500, 217, 556, 695. So, keep reading to learn more.
Given numbers are 635,500,217,556,695
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,500,217,556,695 is 1915350500.
Find LCM of 635,500,217,556,695 with Prime Factorization
| 2 | 635, 500, 217, 556, 695 |
| 2 | 635, 250, 217, 278, 695 |
| 5 | 635, 125, 217, 139, 695 |
| 139 | 127, 25, 217, 139, 139 |
| 127, 25, 217, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 139 x 127 x 25 x 217 x 1 x 1 = 1915350500
Therefore, the lowest common multiple of 635,500,217,556,695 is 1915350500.
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 500 x 217 x 556 x 695 = 26623371950000
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
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
217 : 1, 7, 31, 217
556 : 1, 2, 4, 139, 278, 556
695 : 1, 5, 139, 695
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,500,217,556,695, is 1.
Now, the common factors can be found like this.
635:5x 127
500:2x 2x 5x 5x 5
217:7x 31
556:2x 2x 139
695:5x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 5x 139 = 13900
Therefore, the value for common factors is 13900.
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 = 26623371950000/(1x13900)
LCM = 26623371950000/13900
LCM = 1915350500
Thus, we can understand that the LCM of 635,500,217,556,695 is 1915350500.
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, 500, 217, 556, 695
1. What is the LCM of 635, 500, 217, 556, 695?
Answer: LCM of 635, 500, 217, 556, 695 is 1915350500.
2. How to calculate the LCM of 635, 500, 217, 556, 695?
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, 500, 217, 556, 695.
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}.