LCM of 843, 149, 682, 820, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 149, 682, 820, 910 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 843, 149, 682, 820, 910. So, keep reading to learn more.
Given numbers are 843,149,682,820,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,149,682,820,910 is 3196122869940.
Find LCM of 843,149,682,820,910 with Prime Factorization
| 2 | 843, 149, 682, 820, 910 |
| 5 | 843, 149, 341, 410, 455 |
| 843, 149, 341, 82, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 843 x 149 x 341 x 82 x 91 = 3196122869940
Therefore, the lowest common multiple of 843,149,682,820,910 is 3196122869940.
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.
843 x 149 x 682 x 820 x 910 = 63922457398800
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.
843 : 1, 3, 281, 843
149 : 1, 149
682 : 1, 2, 11, 22, 31, 62, 341, 682
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,149,682,820,910, is 1.
Now, the common factors can be found like this.
843:3x 281
149:149
682:2x 11x 31
820:2x 2x 5x 41
910:2x 5x 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 2x 5 = 20
Therefore, the value for common factors is 20.
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 = 63922457398800/(1x20)
LCM = 63922457398800/20
LCM = 3196122869940
Thus, we can understand that the LCM of 843,149,682,820,910 is 3196122869940.
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FAQs on LCM of 843, 149, 682, 820, 910
1. What is the LCM of 843, 149, 682, 820, 910?
Answer: LCM of 843, 149, 682, 820, 910 is 3196122869940.
2. How to calculate the LCM of 843, 149, 682, 820, 910?
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 843, 149, 682, 820, 910.
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}.