LCM of 897, 884, 874, 364, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 884, 874, 364, 488 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 897, 884, 874, 364, 488. So, keep reading to learn more.
Given numbers are 897,884,874,364,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,884,874,364,488 is 989721096.
Find LCM of 897,884,874,364,488 with Prime Factorization
| 2 | 897, 884, 874, 364, 488 |
| 2 | 897, 442, 437, 182, 244 |
| 13 | 897, 221, 437, 91, 122 |
| 23 | 69, 17, 437, 7, 122 |
| 3, 17, 19, 7, 122 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 23 x 3 x 17 x 19 x 7 x 122 = 989721096
Therefore, the lowest common multiple of 897,884,874,364,488 is 989721096.
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.
897 x 884 x 874 x 364 x 488 = 123105468804864
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.
897 : 1, 3, 13, 23, 39, 69, 299, 897
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
874 : 1, 2, 19, 23, 38, 46, 437, 874
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,884,874,364,488, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
884:2x 2x 13x 17
874:2x 19x 23
364:2x 2x 7x 13
488:2x 2x 2x 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 2x 2x 13x 13x 23 = 124384
Therefore, the value for common factors is 124384.
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 = 123105468804864/(1x124384)
LCM = 123105468804864/124384
LCM = 989721096
Thus, we can understand that the LCM of 897,884,874,364,488 is 989721096.
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FAQs on LCM of 897, 884, 874, 364, 488
1. What is the LCM of 897, 884, 874, 364, 488?
Answer: LCM of 897, 884, 874, 364, 488 is 989721096.
2. How to calculate the LCM of 897, 884, 874, 364, 488?
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 897, 884, 874, 364, 488.
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}.