LCM of 514, 361, 188, 434, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 361, 188, 434, 189 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 514, 361, 188, 434, 189. So, keep reading to learn more.
Given numbers are 514,361,188,434,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,361,188,434,189 is 102193123284.
Find LCM of 514,361,188,434,189 with Prime Factorization
| 2 | 514, 361, 188, 434, 189 |
| 7 | 257, 361, 94, 217, 189 |
| 257, 361, 94, 31, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 257 x 361 x 94 x 31 x 27 = 102193123284
Therefore, the lowest common multiple of 514,361,188,434,189 is 102193123284.
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.
514 x 361 x 188 x 434 x 189 = 2861407451952
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.
514 : 1, 2, 257, 514
361 : 1, 19, 361
188 : 1, 2, 4, 47, 94, 188
434 : 1, 2, 7, 14, 31, 62, 217, 434
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,361,188,434,189, is 1.
Now, the common factors can be found like this.
514:2x 257
361:19x 19
188:2x 2x 47
434:2x 7x 31
189:3x 3x 3x 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 7 = 28
Therefore, the value for common factors is 28.
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 = 2861407451952/(1x28)
LCM = 2861407451952/28
LCM = 102193123284
Thus, we can understand that the LCM of 514,361,188,434,189 is 102193123284.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 514, 361, 188, 434, 189
1. What is the LCM of 514, 361, 188, 434, 189?
Answer: LCM of 514, 361, 188, 434, 189 is 102193123284.
2. How to calculate the LCM of 514, 361, 188, 434, 189?
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 514, 361, 188, 434, 189.
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}.