LCM of 615, 635, 188, 993, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 615, 635, 188, 993, 696 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 615, 635, 188, 993, 696. So, keep reading to learn more.
Given numbers are 615,635,188,993,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,635,188,993,696 is 281898440520.
Find LCM of 615,635,188,993,696 with Prime Factorization
| 2 | 615, 635, 188, 993, 696 |
| 2 | 615, 635, 94, 993, 348 |
| 3 | 615, 635, 47, 993, 174 |
| 5 | 205, 635, 47, 331, 58 |
| 41, 127, 47, 331, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 41 x 127 x 47 x 331 x 58 = 281898440520
Therefore, the lowest common multiple of 615,635,188,993,696 is 281898440520.
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.
615 x 635 x 188 x 993 x 696 = 50741719293600
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
635 : 1, 5, 127, 635
188 : 1, 2, 4, 47, 94, 188
993 : 1, 3, 331, 993
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,635,188,993,696, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
635:5x 127
188:2x 2x 47
993:3x 331
696:2x 2x 2x 3x 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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 50741719293600/(1x180)
LCM = 50741719293600/180
LCM = 281898440520
Thus, we can understand that the LCM of 615,635,188,993,696 is 281898440520.
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FAQs on LCM of 615, 635, 188, 993, 696
1. What is the LCM of 615, 635, 188, 993, 696?
Answer: LCM of 615, 635, 188, 993, 696 is 281898440520.
2. How to calculate the LCM of 615, 635, 188, 993, 696?
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 615, 635, 188, 993, 696.
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}.