LCM of 614, 838, 178, 546, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 838, 178, 546, 882 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, 838, 178, 546, 882. So, keep reading to learn more.
Given numbers are 614,838,178,546,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,838,178,546,882 is 131266632042.
Find LCM of 614,838,178,546,882 with Prime Factorization
| 2 | 614, 838, 178, 546, 882 |
| 3 | 307, 419, 89, 273, 441 |
| 7 | 307, 419, 89, 91, 147 |
| 307, 419, 89, 13, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 307 x 419 x 89 x 13 x 21 = 131266632042
Therefore, the lowest common multiple of 614,838,178,546,882 is 131266632042.
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 838 x 178 x 546 x 882 = 44105588366112
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
838 : 1, 2, 419, 838
178 : 1, 2, 89, 178
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,838,178,546,882, is 2.
Now, the common factors can be found like this.
614:2x 307
838:2x 419
178:2x 89
546:2x 3x 7x 13
882:2x 3x 3x 7x 7
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 7 = 168
Therefore, the value for common factors is 168.
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 = 44105588366112/(2x168)
LCM = 44105588366112/336
LCM = 131266632042
Thus, we can understand that the LCM of 614,838,178,546,882 is 131266632042.
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FAQs on LCM of 614, 838, 178, 546, 882
1. What is the LCM of 614, 838, 178, 546, 882?
Answer: LCM of 614, 838, 178, 546, 882 is 131266632042.
2. How to calculate the LCM of 614, 838, 178, 546, 882?
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, 838, 178, 546, 882.
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}.