LCM of 686, 846, 450, 728, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 846, 450, 728, 678 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 686, 846, 450, 728, 678. So, keep reading to learn more.
Given numbers are 686,846,450,728,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,846,450,728,678 is 42627148200.
Find LCM of 686,846,450,728,678 with Prime Factorization
| 2 | 686, 846, 450, 728, 678 |
| 3 | 343, 423, 225, 364, 339 |
| 3 | 343, 141, 75, 364, 113 |
| 7 | 343, 47, 25, 364, 113 |
| 49, 47, 25, 52, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 49 x 47 x 25 x 52 x 113 = 42627148200
Therefore, the lowest common multiple of 686,846,450,728,678 is 42627148200.
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.
686 x 846 x 450 x 728 x 678 = 128904496156800
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.
686 : 1, 2, 7, 14, 49, 98, 343, 686
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
678 : 1, 2, 3, 6, 113, 226, 339, 678
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,846,450,728,678, is 2.
Now, the common factors can be found like this.
686:2x 7x 7x 7
846:2x 3x 3x 47
450:2x 3x 3x 5x 5
728:2x 2x 2x 7x 13
678:2x 3x 113
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 3x 3x 3x 7 = 1512
Therefore, the value for common factors is 1512.
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 = 128904496156800/(2x1512)
LCM = 128904496156800/3024
LCM = 42627148200
Thus, we can understand that the LCM of 686,846,450,728,678 is 42627148200.
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FAQs on LCM of 686, 846, 450, 728, 678
1. What is the LCM of 686, 846, 450, 728, 678?
Answer: LCM of 686, 846, 450, 728, 678 is 42627148200.
2. How to calculate the LCM of 686, 846, 450, 728, 678?
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 686, 846, 450, 728, 678.
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}.