LCM of 844, 852, 241, 622, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 852, 241, 622, 549 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 844, 852, 241, 622, 549. So, keep reading to learn more.
Given numbers are 844,852,241,622,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,852,241,622,549 is 2465758684476.
Find LCM of 844,852,241,622,549 with Prime Factorization
| 2 | 844, 852, 241, 622, 549 |
| 2 | 422, 426, 241, 311, 549 |
| 3 | 211, 213, 241, 311, 549 |
| 211, 71, 241, 311, 183 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 211 x 71 x 241 x 311 x 183 = 2465758684476
Therefore, the lowest common multiple of 844,852,241,622,549 is 2465758684476.
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.
844 x 852 x 241 x 622 x 549 = 59178208427424
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.
844 : 1, 2, 4, 211, 422, 844
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
241 : 1, 241
622 : 1, 2, 311, 622
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,852,241,622,549, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
852:2x 2x 3x 71
241:241
622:2x 311
549:3x 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.
2x 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 59178208427424/(1x24)
LCM = 59178208427424/24
LCM = 2465758684476
Thus, we can understand that the LCM of 844,852,241,622,549 is 2465758684476.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 844, 852, 241, 622, 549
1. What is the LCM of 844, 852, 241, 622, 549?
Answer: LCM of 844, 852, 241, 622, 549 is 2465758684476.
2. How to calculate the LCM of 844, 852, 241, 622, 549?
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 844, 852, 241, 622, 549.
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}.