Find the LCM of 477, 976, 183, 897, 663 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 477, 976, 183, 897, 663. So, keep reading to learn more.
Given numbers are 477,976,183,897,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,976,183,897,663 is 2366400816.
Find LCM of 477,976,183,897,663 with Prime Factorization
3 | 477, 976, 183, 897, 663 |
13 | 159, 976, 61, 299, 221 |
61 | 159, 976, 61, 23, 17 |
159, 16, 1, 23, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 61 x 159 x 16 x 1 x 23 x 17 = 2366400816
Therefore, the lowest common multiple of 477,976,183,897,663 is 2366400816.
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.
477 x 976 x 183 x 897 x 663 = 50667007871376
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.
477 : 1, 3, 9, 53, 159, 477
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
183 : 1, 3, 61, 183
897 : 1, 3, 13, 23, 39, 69, 299, 897
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,976,183,897,663, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
976:2x 2x 2x 2x 61
183:3x 61
897:3x 13x 23
663:3x 13x 17
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 61 = 21411
Therefore, the value for common factors is 21411.
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 = 50667007871376/(1x21411)
LCM = 50667007871376/21411
LCM = 2366400816
Thus, we can understand that the LCM of 477,976,183,897,663 is 2366400816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 477, 976, 183, 897, 663?
Answer: LCM of 477, 976, 183, 897, 663 is 2366400816.
2. How to calculate the LCM of 477, 976, 183, 897, 663?
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 477, 976, 183, 897, 663.
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}.