LCM of 183, 897, 741, 849, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 183, 897, 741, 849, 684 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 183, 897, 741, 849, 684. So, keep reading to learn more.
Given numbers are 183,897,741,849,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 183,897,741,849,684 is 3530559708.
Find LCM of 183,897,741,849,684 with Prime Factorization
| 3 | 183, 897, 741, 849, 684 |
| 13 | 61, 299, 247, 283, 228 |
| 19 | 61, 23, 19, 283, 228 |
| 61, 23, 1, 283, 12 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 19 x 61 x 23 x 1 x 283 x 12 = 3530559708
Therefore, the lowest common multiple of 183,897,741,849,684 is 3530559708.
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.
183 x 897 x 741 x 849 x 684 = 70635908077956
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.
183 : 1, 3, 61, 183
897 : 1, 3, 13, 23, 39, 69, 299, 897
741 : 1, 3, 13, 19, 39, 57, 247, 741
849 : 1, 3, 283, 849
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 183,897,741,849,684, is 3.
Now, the common factors can be found like this.
183:3x 61
897:3x 13x 23
741:3x 13x 19
849:3x 283
684:2x 2x 3x 3x 19
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 3x 13x 19 = 6669
Therefore, the value for common factors is 6669.
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 = 70635908077956/(3x6669)
LCM = 70635908077956/20007
LCM = 3530559708
Thus, we can understand that the LCM of 183,897,741,849,684 is 3530559708.
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FAQs on LCM of 183, 897, 741, 849, 684
1. What is the LCM of 183, 897, 741, 849, 684?
Answer: LCM of 183, 897, 741, 849, 684 is 3530559708.
2. How to calculate the LCM of 183, 897, 741, 849, 684?
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 183, 897, 741, 849, 684.
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}.