LCM of 884, 209, 861, 464, 252
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 209, 861, 464, 252 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 884, 209, 861, 464, 252. So, keep reading to learn more.
Given numbers are 884,209,861,464,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,209,861,464,252 is 55358070768.
Find LCM of 884,209,861,464,252 with Prime Factorization
| 2 | 884, 209, 861, 464, 252 |
| 2 | 442, 209, 861, 232, 126 |
| 3 | 221, 209, 861, 116, 63 |
| 7 | 221, 209, 287, 116, 21 |
| 221, 209, 41, 116, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 221 x 209 x 41 x 116 x 3 = 55358070768
Therefore, the lowest common multiple of 884,209,861,464,252 is 55358070768.
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.
884 x 209 x 861 x 464 x 252 = 18600311778048
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
209 : 1, 11, 19, 209
861 : 1, 3, 7, 21, 41, 123, 287, 861
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,209,861,464,252, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
209:11x 19
861:3x 7x 41
464:2x 2x 2x 2x 29
252:2x 2x 3x 3x 7
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 7 = 336
Therefore, the value for common factors is 336.
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 = 18600311778048/(1x336)
LCM = 18600311778048/336
LCM = 55358070768
Thus, we can understand that the LCM of 884,209,861,464,252 is 55358070768.
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FAQs on LCM of 884, 209, 861, 464, 252
1. What is the LCM of 884, 209, 861, 464, 252?
Answer: LCM of 884, 209, 861, 464, 252 is 55358070768.
2. How to calculate the LCM of 884, 209, 861, 464, 252?
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 884, 209, 861, 464, 252.
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}.