LCM of 391, 484, 682, 238, 875
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 484, 682, 238, 875 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 391, 484, 682, 238, 875. So, keep reading to learn more.
Given numbers are 391,484,682,238,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,484,682,238,875 is 5133243500.
Find LCM of 391,484,682,238,875 with Prime Factorization
| 2 | 391, 484, 682, 238, 875 |
| 7 | 391, 242, 341, 119, 875 |
| 11 | 391, 242, 341, 17, 125 |
| 17 | 391, 22, 31, 17, 125 |
| 23, 22, 31, 1, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 17 x 23 x 22 x 31 x 1 x 125 = 5133243500
Therefore, the lowest common multiple of 391,484,682,238,875 is 5133243500.
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.
391 x 484 x 682 x 238 x 875 = 26877662966000
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.
391 : 1, 17, 23, 391
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
682 : 1, 2, 11, 22, 31, 62, 341, 682
238 : 1, 2, 7, 14, 17, 34, 119, 238
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,484,682,238,875, is 1.
Now, the common factors can be found like this.
391:17x 23
484:2x 2x 11x 11
682:2x 11x 31
238:2x 7x 17
875:5x 5x 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.
2x 2x 7x 11x 17 = 5236
Therefore, the value for common factors is 5236.
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 = 26877662966000/(1x5236)
LCM = 26877662966000/5236
LCM = 5133243500
Thus, we can understand that the LCM of 391,484,682,238,875 is 5133243500.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 391, 484, 682, 238, 875
1. What is the LCM of 391, 484, 682, 238, 875?
Answer: LCM of 391, 484, 682, 238, 875 is 5133243500.
2. How to calculate the LCM of 391, 484, 682, 238, 875?
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 391, 484, 682, 238, 875.
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}.