LCM of 242, 469, 878, 605
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 242, 469, 878, 605 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 242, 469, 878, 605. So, keep reading to learn more.
Given numbers are 242,469,878,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,469,878,605 is 249128110.
Find LCM of 242,469,878,605 with Prime Factorization
| 2 | 242, 469, 878, 605 |
| 11 | 121, 469, 439, 605 |
| 11 | 11, 469, 439, 55 |
| 1, 469, 439, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 11 x 1 x 469 x 439 x 5 = 249128110
Therefore, the lowest common multiple of 242,469,878,605 is 249128110.
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.
242 x 469 x 878 x 605 = 60289002620
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.
242 : 1, 2, 11, 22, 121, 242
469 : 1, 7, 67, 469
878 : 1, 2, 439, 878
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,469,878,605, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
469:7x 67
878:2x 439
605:5x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 60289002620/(1x242)
LCM = 60289002620/242
LCM = 249128110
Thus, we can understand that the LCM of 242,469,878,605 is 249128110.
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FAQs on LCM of 242, 469, 878, 605
1. What is the LCM of 242, 469, 878, 605?
Answer: LCM of 242, 469, 878, 605 is 249128110.
2. How to calculate the LCM of 242, 469, 878, 605?
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 242, 469, 878, 605.
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}.