LCM of 678, 493, 684, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 493, 684, 171 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 678, 493, 684, 171. So, keep reading to learn more.
Given numbers are 678,493,684,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,493,684,171 is 38104956.
Find LCM of 678,493,684,171 with Prime Factorization
| 2 | 678, 493, 684, 171 |
| 3 | 339, 493, 342, 171 |
| 3 | 113, 493, 114, 57 |
| 19 | 113, 493, 38, 19 |
| 113, 493, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 113 x 493 x 2 x 1 = 38104956
Therefore, the lowest common multiple of 678,493,684,171 is 38104956.
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.
678 x 493 x 684 x 171 = 39095684856
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
493 : 1, 17, 29, 493
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,493,684,171, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
493:17x 29
684:2x 2x 3x 3x 19
171:3x 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 3x 3x 3x 19 = 1026
Therefore, the value for common factors is 1026.
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 = 39095684856/(1x1026)
LCM = 39095684856/1026
LCM = 38104956
Thus, we can understand that the LCM of 678,493,684,171 is 38104956.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 678, 493, 684, 171
1. What is the LCM of 678, 493, 684, 171?
Answer: LCM of 678, 493, 684, 171 is 38104956.
2. How to calculate the LCM of 678, 493, 684, 171?
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 678, 493, 684, 171.
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}.