LCM of 682, 480, 249, 415, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 480, 249, 415, 858 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 682, 480, 249, 415, 858. So, keep reading to learn more.
Given numbers are 682,480,249,415,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,480,249,415,858 is 176610720.
Find LCM of 682,480,249,415,858 with Prime Factorization
| 2 | 682, 480, 249, 415, 858 |
| 3 | 341, 240, 249, 415, 429 |
| 5 | 341, 80, 83, 415, 143 |
| 11 | 341, 16, 83, 83, 143 |
| 83 | 31, 16, 83, 83, 13 |
| 31, 16, 1, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 83 x 31 x 16 x 1 x 1 x 13 = 176610720
Therefore, the lowest common multiple of 682,480,249,415,858 is 176610720.
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.
682 x 480 x 249 x 415 x 858 = 29024205724800
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
249 : 1, 3, 83, 249
415 : 1, 5, 83, 415
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,480,249,415,858, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
480:2x 2x 2x 2x 2x 3x 5
249:3x 83
415:5x 83
858:2x 3x 11x 13
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 3x 3x 5x 11x 83 = 164340
Therefore, the value for common factors is 164340.
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 = 29024205724800/(1x164340)
LCM = 29024205724800/164340
LCM = 176610720
Thus, we can understand that the LCM of 682,480,249,415,858 is 176610720.
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FAQs on LCM of 682, 480, 249, 415, 858
1. What is the LCM of 682, 480, 249, 415, 858?
Answer: LCM of 682, 480, 249, 415, 858 is 176610720.
2. How to calculate the LCM of 682, 480, 249, 415, 858?
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 682, 480, 249, 415, 858.
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}.