LCM of 819, 897, 546, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 819, 897, 546, 609 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 819, 897, 546, 609. So, keep reading to learn more.
Given numbers are 819,897,546,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,897,546,609 is 1092546.
Find LCM of 819,897,546,609 with Prime Factorization
| 3 | 819, 897, 546, 609 |
| 7 | 273, 299, 182, 203 |
| 13 | 39, 299, 26, 29 |
| 3, 23, 2, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 3 x 23 x 2 x 29 = 1092546
Therefore, the lowest common multiple of 819,897,546,609 is 1092546.
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.
819 x 897 x 546 x 609 = 244279082502
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.
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
897 : 1, 3, 13, 23, 39, 69, 299, 897
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
609 : 1, 3, 7, 21, 29, 87, 203, 609
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,897,546,609, is 3.
Now, the common factors can be found like this.
819:3x 3x 7x 13
897:3x 13x 23
546:2x 3x 7x 13
609:3x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 7x 13x 13 = 74529
Therefore, the value for common factors is 74529.
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 = 244279082502/(3x74529)
LCM = 244279082502/223587
LCM = 1092546
Thus, we can understand that the LCM of 819,897,546,609 is 1092546.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 819, 897, 546, 609
1. What is the LCM of 819, 897, 546, 609?
Answer: LCM of 819, 897, 546, 609 is 1092546.
2. How to calculate the LCM of 819, 897, 546, 609?
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 819, 897, 546, 609.
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}.