LCM of 897, 416, 236, 584, 842
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 416, 236, 584, 842 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, 416, 236, 584, 842. So, keep reading to learn more.
Given numbers are 897,416,236,584,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,416,236,584,842 is 52047441888.
Find LCM of 897,416,236,584,842 with Prime Factorization
| 2 | 897, 416, 236, 584, 842 |
| 2 | 897, 208, 118, 292, 421 |
| 2 | 897, 104, 59, 146, 421 |
| 13 | 897, 52, 59, 73, 421 |
| 69, 4, 59, 73, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 69 x 4 x 59 x 73 x 421 = 52047441888
Therefore, the lowest common multiple of 897,416,236,584,842 is 52047441888.
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 416 x 236 x 584 x 842 = 43303471650816
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
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
236 : 1, 2, 4, 59, 118, 236
584 : 1, 2, 4, 8, 73, 146, 292, 584
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,416,236,584,842, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
416:2x 2x 2x 2x 2x 13
236:2x 2x 59
584:2x 2x 2x 73
842:2x 421
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 2x 13 = 832
Therefore, the value for common factors is 832.
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 = 43303471650816/(1x832)
LCM = 43303471650816/832
LCM = 52047441888
Thus, we can understand that the LCM of 897,416,236,584,842 is 52047441888.
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FAQs on LCM of 897, 416, 236, 584, 842
1. What is the LCM of 897, 416, 236, 584, 842?
Answer: LCM of 897, 416, 236, 584, 842 is 52047441888.
2. How to calculate the LCM of 897, 416, 236, 584, 842?
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, 416, 236, 584, 842.
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}.