LCM of 848, 348, 174, 172, 687
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 348, 174, 172, 687 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 848, 348, 174, 172, 687. So, keep reading to learn more.
Given numbers are 848,348,174,172,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,348,174,172,687 is 726472272.
Find LCM of 848,348,174,172,687 with Prime Factorization
| 2 | 848, 348, 174, 172, 687 |
| 2 | 424, 174, 87, 86, 687 |
| 3 | 212, 87, 87, 43, 687 |
| 29 | 212, 29, 29, 43, 229 |
| 212, 1, 1, 43, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 212 x 1 x 1 x 43 x 229 = 726472272
Therefore, the lowest common multiple of 848,348,174,172,687 is 726472272.
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.
848 x 348 x 174 x 172 x 687 = 6067496415744
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
174 : 1, 2, 3, 6, 29, 58, 87, 174
172 : 1, 2, 4, 43, 86, 172
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,348,174,172,687, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
348:2x 2x 3x 29
174:2x 3x 29
172:2x 2x 43
687:3x 229
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 2x 2x 2x 3x 3x 29 = 8352
Therefore, the value for common factors is 8352.
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 = 6067496415744/(1x8352)
LCM = 6067496415744/8352
LCM = 726472272
Thus, we can understand that the LCM of 848,348,174,172,687 is 726472272.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 848, 348, 174, 172, 687
1. What is the LCM of 848, 348, 174, 172, 687?
Answer: LCM of 848, 348, 174, 172, 687 is 726472272.
2. How to calculate the LCM of 848, 348, 174, 172, 687?
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 848, 348, 174, 172, 687.
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}.