LCM of 682, 353, 800, 600, 322
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 353, 800, 600, 322 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, 353, 800, 600, 322. So, keep reading to learn more.
Given numbers are 682,353,800,600,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,353,800,600,322 is 46512127200.
Find LCM of 682,353,800,600,322 with Prime Factorization
| 2 | 682, 353, 800, 600, 322 |
| 2 | 341, 353, 400, 300, 161 |
| 2 | 341, 353, 200, 150, 161 |
| 5 | 341, 353, 100, 75, 161 |
| 5 | 341, 353, 20, 15, 161 |
| 341, 353, 4, 3, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 341 x 353 x 4 x 3 x 161 = 46512127200
Therefore, the lowest common multiple of 682,353,800,600,322 is 46512127200.
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 353 x 800 x 600 x 322 = 37209701760000
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
353 : 1, 353
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,353,800,600,322, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
353:353
800:2x 2x 2x 2x 2x 5x 5
600:2x 2x 2x 3x 5x 5
322:2x 7x 23
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 5x 5 = 800
Therefore, the value for common factors is 800.
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 = 37209701760000/(1x800)
LCM = 37209701760000/800
LCM = 46512127200
Thus, we can understand that the LCM of 682,353,800,600,322 is 46512127200.
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FAQs on LCM of 682, 353, 800, 600, 322
1. What is the LCM of 682, 353, 800, 600, 322?
Answer: LCM of 682, 353, 800, 600, 322 is 46512127200.
2. How to calculate the LCM of 682, 353, 800, 600, 322?
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, 353, 800, 600, 322.
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}.