LCM of 682, 562, 822, 381, 843
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 562, 822, 381, 843 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, 562, 822, 381, 843. So, keep reading to learn more.
Given numbers are 682,562,822,381,843
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,562,822,381,843 is 10003137474.
Find LCM of 682,562,822,381,843 with Prime Factorization
| 2 | 682, 562, 822, 381, 843 |
| 3 | 341, 281, 411, 381, 843 |
| 281 | 341, 281, 137, 127, 281 |
| 341, 1, 137, 127, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 281 x 341 x 1 x 137 x 127 x 1 = 10003137474
Therefore, the lowest common multiple of 682,562,822,381,843 is 10003137474.
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 562 x 822 x 381 x 843 = 101191738686984
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
562 : 1, 2, 281, 562
822 : 1, 2, 3, 6, 137, 274, 411, 822
381 : 1, 3, 127, 381
843 : 1, 3, 281, 843
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,562,822,381,843, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
562:2x 281
822:2x 3x 137
381:3x 127
843:3x 281
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 281 = 10116
Therefore, the value for common factors is 10116.
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 = 101191738686984/(1x10116)
LCM = 101191738686984/10116
LCM = 10003137474
Thus, we can understand that the LCM of 682,562,822,381,843 is 10003137474.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 682, 562, 822, 381, 843
1. What is the LCM of 682, 562, 822, 381, 843?
Answer: LCM of 682, 562, 822, 381, 843 is 10003137474.
2. How to calculate the LCM of 682, 562, 822, 381, 843?
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, 562, 822, 381, 843.
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}.