LCM of 621, 686, 834, 789, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 621, 686, 834, 789, 987 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 621, 686, 834, 789, 987. So, keep reading to learn more.
Given numbers are 621,686,834,789,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 621,686,834,789,987 is 731954563074.
Find LCM of 621,686,834,789,987 with Prime Factorization
| 2 | 621, 686, 834, 789, 987 |
| 3 | 621, 343, 417, 789, 987 |
| 7 | 207, 343, 139, 263, 329 |
| 207, 49, 139, 263, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 207 x 49 x 139 x 263 x 47 = 731954563074
Therefore, the lowest common multiple of 621,686,834,789,987 is 731954563074.
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.
621 x 686 x 834 x 789 x 987 = 276678824841972
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.
621 : 1, 3, 9, 23, 27, 69, 207, 621
686 : 1, 2, 7, 14, 49, 98, 343, 686
834 : 1, 2, 3, 6, 139, 278, 417, 834
789 : 1, 3, 263, 789
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 621,686,834,789,987, is 1.
Now, the common factors can be found like this.
621:3x 3x 3x 23
686:2x 7x 7x 7
834:2x 3x 139
789:3x 263
987:3x 7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7 = 378
Therefore, the value for common factors is 378.
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 = 276678824841972/(1x378)
LCM = 276678824841972/378
LCM = 731954563074
Thus, we can understand that the LCM of 621,686,834,789,987 is 731954563074.
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FAQs on LCM of 621, 686, 834, 789, 987
1. What is the LCM of 621, 686, 834, 789, 987?
Answer: LCM of 621, 686, 834, 789, 987 is 731954563074.
2. How to calculate the LCM of 621, 686, 834, 789, 987?
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 621, 686, 834, 789, 987.
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}.