LCM of 253, 165, 509, 610, 183
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 165, 509, 610, 183 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 253, 165, 509, 610, 183. So, keep reading to learn more.
Given numbers are 253,165,509,610,183
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,165,509,610,183 is 235661910.
Find LCM of 253,165,509,610,183 with Prime Factorization
| 3 | 253, 165, 509, 610, 183 |
| 5 | 253, 55, 509, 610, 61 |
| 11 | 253, 11, 509, 122, 61 |
| 61 | 23, 1, 509, 122, 61 |
| 23, 1, 509, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 61 x 23 x 1 x 509 x 2 x 1 = 235661910
Therefore, the lowest common multiple of 253,165,509,610,183 is 235661910.
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.
253 x 165 x 509 x 610 x 183 = 2371937124150
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.
253 : 1, 11, 23, 253
165 : 1, 3, 5, 11, 15, 33, 55, 165
509 : 1, 509
610 : 1, 2, 5, 10, 61, 122, 305, 610
183 : 1, 3, 61, 183
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,165,509,610,183, is 1.
Now, the common factors can be found like this.
253:11x 23
165:3x 5x 11
509:509
610:2x 5x 61
183:3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11x 61 = 10065
Therefore, the value for common factors is 10065.
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 = 2371937124150/(1x10065)
LCM = 2371937124150/10065
LCM = 235661910
Thus, we can understand that the LCM of 253,165,509,610,183 is 235661910.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 253, 165, 509, 610, 183
1. What is the LCM of 253, 165, 509, 610, 183?
Answer: LCM of 253, 165, 509, 610, 183 is 235661910.
2. How to calculate the LCM of 253, 165, 509, 610, 183?
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 253, 165, 509, 610, 183.
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}.