LCM of 614, 819, 644, 402, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 819, 644, 402, 684 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 614, 819, 644, 402, 684. So, keep reading to learn more.
Given numbers are 614,819,644,402,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,819,644,402,684 is 29446827228.
Find LCM of 614,819,644,402,684 with Prime Factorization
| 2 | 614, 819, 644, 402, 684 |
| 2 | 307, 819, 322, 201, 342 |
| 3 | 307, 819, 161, 201, 171 |
| 3 | 307, 273, 161, 67, 57 |
| 7 | 307, 91, 161, 67, 19 |
| 307, 13, 23, 67, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 307 x 13 x 23 x 67 x 19 = 29446827228
Therefore, the lowest common multiple of 614,819,644,402,684 is 29446827228.
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.
614 x 819 x 644 x 402 x 684 = 89047205537472
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.
614 : 1, 2, 307, 614
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
402 : 1, 2, 3, 6, 67, 134, 201, 402
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,819,644,402,684, is 1.
Now, the common factors can be found like this.
614:2x 307
819:3x 3x 7x 13
644:2x 2x 7x 23
402:2x 3x 67
684:2x 2x 3x 3x 19
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 3x 7 = 3024
Therefore, the value for common factors is 3024.
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 = 89047205537472/(1x3024)
LCM = 89047205537472/3024
LCM = 29446827228
Thus, we can understand that the LCM of 614,819,644,402,684 is 29446827228.
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FAQs on LCM of 614, 819, 644, 402, 684
1. What is the LCM of 614, 819, 644, 402, 684?
Answer: LCM of 614, 819, 644, 402, 684 is 29446827228.
2. How to calculate the LCM of 614, 819, 644, 402, 684?
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 614, 819, 644, 402, 684.
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}.