LCM of 552, 205, 538, 444, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 205, 538, 444, 869 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 552, 205, 538, 444, 869. So, keep reading to learn more.
Given numbers are 552,205,538,444,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,205,538,444,869 is 978738606120.
Find LCM of 552,205,538,444,869 with Prime Factorization
| 2 | 552, 205, 538, 444, 869 |
| 2 | 276, 205, 269, 222, 869 |
| 3 | 138, 205, 269, 111, 869 |
| 46, 205, 269, 37, 869 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 46 x 205 x 269 x 37 x 869 = 978738606120
Therefore, the lowest common multiple of 552,205,538,444,869 is 978738606120.
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.
552 x 205 x 538 x 444 x 869 = 23489726546880
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
205 : 1, 5, 41, 205
538 : 1, 2, 269, 538
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,205,538,444,869, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
205:5x 41
538:2x 269
444:2x 2x 3x 37
869:11x 79
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 3 = 24
Therefore, the value for common factors is 24.
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 = 23489726546880/(1x24)
LCM = 23489726546880/24
LCM = 978738606120
Thus, we can understand that the LCM of 552,205,538,444,869 is 978738606120.
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FAQs on LCM of 552, 205, 538, 444, 869
1. What is the LCM of 552, 205, 538, 444, 869?
Answer: LCM of 552, 205, 538, 444, 869 is 978738606120.
2. How to calculate the LCM of 552, 205, 538, 444, 869?
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 552, 205, 538, 444, 869.
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}.