LCM of 682, 325, 208, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 325, 208, 637 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, 325, 208, 637. So, keep reading to learn more.
Given numbers are 682,325,208,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,325,208,637 is 86886800.
Find LCM of 682,325,208,637 with Prime Factorization
| 2 | 682, 325, 208, 637 |
| 13 | 341, 325, 104, 637 |
| 341, 25, 8, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 341 x 25 x 8 x 49 = 86886800
Therefore, the lowest common multiple of 682,325,208,637 is 86886800.
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 325 x 208 x 637 = 29367738400
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
325 : 1, 5, 13, 25, 65, 325
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,325,208,637, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
325:5x 5x 13
208:2x 2x 2x 2x 13
637:7x 7x 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 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 29367738400/(1x338)
LCM = 29367738400/338
LCM = 86886800
Thus, we can understand that the LCM of 682,325,208,637 is 86886800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 682, 325, 208, 637
1. What is the LCM of 682, 325, 208, 637?
Answer: LCM of 682, 325, 208, 637 is 86886800.
2. How to calculate the LCM of 682, 325, 208, 637?
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, 325, 208, 637.
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}.