LCM of 833, 682, 245, 341, 516
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 833, 682, 245, 341, 516 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 833, 682, 245, 341, 516. So, keep reading to learn more.
Given numbers are 833,682,245,341,516
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 833,682,245,341,516 is 732856740.
Find LCM of 833,682,245,341,516 with Prime Factorization
| 2 | 833, 682, 245, 341, 516 |
| 7 | 833, 341, 245, 341, 258 |
| 7 | 119, 341, 35, 341, 258 |
| 11 | 17, 341, 5, 341, 258 |
| 31 | 17, 31, 5, 31, 258 |
| 17, 1, 5, 1, 258 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 7 x 11 x 31 x 17 x 1 x 5 x 1 x 258 = 732856740
Therefore, the lowest common multiple of 833,682,245,341,516 is 732856740.
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.
833 x 682 x 245 x 341 x 516 = 24490606537320
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.
833 : 1, 7, 17, 49, 119, 833
682 : 1, 2, 11, 22, 31, 62, 341, 682
245 : 1, 5, 7, 35, 49, 245
341 : 1, 11, 31, 341
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 833,682,245,341,516, is 1.
Now, the common factors can be found like this.
833:7x 7x 17
682:2x 11x 31
245:5x 7x 7
341:11x 31
516:2x 2x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 11x 31 = 33418
Therefore, the value for common factors is 33418.
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 = 24490606537320/(1x33418)
LCM = 24490606537320/33418
LCM = 732856740
Thus, we can understand that the LCM of 833,682,245,341,516 is 732856740.
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FAQs on LCM of 833, 682, 245, 341, 516
1. What is the LCM of 833, 682, 245, 341, 516?
Answer: LCM of 833, 682, 245, 341, 516 is 732856740.
2. How to calculate the LCM of 833, 682, 245, 341, 516?
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 833, 682, 245, 341, 516.
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}.