LCM of 566, 836, 253, 180, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 566, 836, 253, 180, 918 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 566, 836, 253, 180, 918. So, keep reading to learn more.
Given numbers are 566,836,253,180,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 566,836,253,180,918 is 12488297580.
Find LCM of 566,836,253,180,918 with Prime Factorization
| 2 | 566, 836, 253, 180, 918 |
| 2 | 283, 418, 253, 90, 459 |
| 3 | 283, 209, 253, 45, 459 |
| 3 | 283, 209, 253, 15, 153 |
| 11 | 283, 209, 253, 5, 51 |
| 283, 19, 23, 5, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 283 x 19 x 23 x 5 x 51 = 12488297580
Therefore, the lowest common multiple of 566,836,253,180,918 is 12488297580.
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.
566 x 836 x 253 x 180 x 918 = 19781463366720
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.
566 : 1, 2, 283, 566
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
253 : 1, 11, 23, 253
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,836,253,180,918, is 1.
Now, the common factors can be found like this.
566:2x 283
836:2x 2x 11x 19
253:11x 23
180:2x 2x 3x 3x 5
918:2x 3x 3x 3x 17
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 2x 2x 3x 3x 11 = 1584
Therefore, the value for common factors is 1584.
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 = 19781463366720/(1x1584)
LCM = 19781463366720/1584
LCM = 12488297580
Thus, we can understand that the LCM of 566,836,253,180,918 is 12488297580.
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FAQs on LCM of 566, 836, 253, 180, 918
1. What is the LCM of 566, 836, 253, 180, 918?
Answer: LCM of 566, 836, 253, 180, 918 is 12488297580.
2. How to calculate the LCM of 566, 836, 253, 180, 918?
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 566, 836, 253, 180, 918.
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}.