LCM of 684, 846, 914, 728, 551
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 846, 914, 728, 551 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 684, 846, 914, 728, 551. So, keep reading to learn more.
Given numbers are 684,846,914,728,551
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,846,914,728,551 is 77542454808.
Find LCM of 684,846,914,728,551 with Prime Factorization
| 2 | 684, 846, 914, 728, 551 |
| 2 | 342, 423, 457, 364, 551 |
| 3 | 171, 423, 457, 182, 551 |
| 3 | 57, 141, 457, 182, 551 |
| 19 | 19, 47, 457, 182, 551 |
| 1, 47, 457, 182, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 1 x 47 x 457 x 182 x 29 = 77542454808
Therefore, the lowest common multiple of 684,846,914,728,551 is 77542454808.
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.
684 x 846 x 914 x 728 x 551 = 212156156354688
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
914 : 1, 2, 457, 914
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
551 : 1, 19, 29, 551
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,846,914,728,551, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
846:2x 3x 3x 47
914:2x 457
728:2x 2x 2x 7x 13
551:19x 29
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 2x 3x 3x 19 = 2736
Therefore, the value for common factors is 2736.
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 = 212156156354688/(1x2736)
LCM = 212156156354688/2736
LCM = 77542454808
Thus, we can understand that the LCM of 684,846,914,728,551 is 77542454808.
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FAQs on LCM of 684, 846, 914, 728, 551
1. What is the LCM of 684, 846, 914, 728, 551?
Answer: LCM of 684, 846, 914, 728, 551 is 77542454808.
2. How to calculate the LCM of 684, 846, 914, 728, 551?
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 684, 846, 914, 728, 551.
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}.