LCM of 615, 205, 283, 103
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 615, 205, 283, 103 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, 205, 283, 103. So, keep reading to learn more.
Given numbers are 615,205,283,103
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,205,283,103 is 17926635.
Find LCM of 615,205,283,103 with Prime Factorization
| 5 | 615, 205, 283, 103 |
| 41 | 123, 41, 283, 103 |
| 3, 1, 283, 103 |
Multiply the prime numbers at the bottom and the left side.
5 x 41 x 3 x 1 x 283 x 103 = 17926635
Therefore, the lowest common multiple of 615,205,283,103 is 17926635.
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 205 x 283 x 103 = 3674960175
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
205 : 1, 5, 41, 205
283 : 1, 283
103 : 1, 103
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,205,283,103, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
205:5x 41
283:283
103:103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 41 = 205
Therefore, the value for common factors is 205.
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 = 3674960175/(1x205)
LCM = 3674960175/205
LCM = 17926635
Thus, we can understand that the LCM of 615,205,283,103 is 17926635.
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FAQs on LCM of 615, 205, 283, 103
1. What is the LCM of 615, 205, 283, 103?
Answer: LCM of 615, 205, 283, 103 is 17926635.
2. How to calculate the LCM of 615, 205, 283, 103?
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, 205, 283, 103.
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}.