LCM of 175, 748, 519, 682, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 175, 748, 519, 682, 406 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 175, 748, 519, 682, 406. So, keep reading to learn more.
Given numbers are 175,748,519,682,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 175,748,519,682,406 is 61075452900.
Find LCM of 175,748,519,682,406 with Prime Factorization
| 2 | 175, 748, 519, 682, 406 |
| 7 | 175, 374, 519, 341, 203 |
| 11 | 25, 374, 519, 341, 29 |
| 25, 34, 519, 31, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 25 x 34 x 519 x 31 x 29 = 61075452900
Therefore, the lowest common multiple of 175,748,519,682,406 is 61075452900.
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.
175 x 748 x 519 x 682 x 406 = 18811239493200
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.
175 : 1, 5, 7, 25, 35, 175
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
519 : 1, 3, 173, 519
682 : 1, 2, 11, 22, 31, 62, 341, 682
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 175,748,519,682,406, is 1.
Now, the common factors can be found like this.
175:5x 5x 7
748:2x 2x 11x 17
519:3x 173
682:2x 11x 31
406:2x 7x 29
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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 18811239493200/(1x308)
LCM = 18811239493200/308
LCM = 61075452900
Thus, we can understand that the LCM of 175,748,519,682,406 is 61075452900.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 175, 748, 519, 682, 406
1. What is the LCM of 175, 748, 519, 682, 406?
Answer: LCM of 175, 748, 519, 682, 406 is 61075452900.
2. How to calculate the LCM of 175, 748, 519, 682, 406?
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 175, 748, 519, 682, 406.
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}.