LCM of 268, 303, 505, 591, 888
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 303, 505, 591, 888 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 268, 303, 505, 591, 888. So, keep reading to learn more.
Given numbers are 268,303,505,591,888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,303,505,591,888 is 5918959560.
Find LCM of 268,303,505,591,888 with Prime Factorization
| 2 | 268, 303, 505, 591, 888 |
| 2 | 134, 303, 505, 591, 444 |
| 3 | 67, 303, 505, 591, 222 |
| 101 | 67, 101, 505, 197, 74 |
| 67, 1, 5, 197, 74 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 101 x 67 x 1 x 5 x 197 x 74 = 5918959560
Therefore, the lowest common multiple of 268,303,505,591,888 is 5918959560.
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.
268 x 303 x 505 x 591 x 888 = 21521336960160
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.
268 : 1, 2, 4, 67, 134, 268
303 : 1, 3, 101, 303
505 : 1, 5, 101, 505
591 : 1, 3, 197, 591
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,303,505,591,888, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
303:3x 101
505:5x 101
591:3x 197
888:2x 2x 2x 3x 37
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 101 = 3636
Therefore, the value for common factors is 3636.
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 = 21521336960160/(1x3636)
LCM = 21521336960160/3636
LCM = 5918959560
Thus, we can understand that the LCM of 268,303,505,591,888 is 5918959560.
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FAQs on LCM of 268, 303, 505, 591, 888
1. What is the LCM of 268, 303, 505, 591, 888?
Answer: LCM of 268, 303, 505, 591, 888 is 5918959560.
2. How to calculate the LCM of 268, 303, 505, 591, 888?
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 268, 303, 505, 591, 888.
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}.