LCM of 552, 927, 648, 584
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 927, 648, 584 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, 927, 648, 584. So, keep reading to learn more.
Given numbers are 552,927,648,584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,927,648,584 is 112063176.
Find LCM of 552,927,648,584 with Prime Factorization
| 2 | 552, 927, 648, 584 |
| 2 | 276, 927, 324, 292 |
| 2 | 138, 927, 162, 146 |
| 3 | 69, 927, 81, 73 |
| 3 | 23, 309, 27, 73 |
| 23, 103, 9, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 23 x 103 x 9 x 73 = 112063176
Therefore, the lowest common multiple of 552,927,648,584 is 112063176.
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 927 x 648 x 584 = 193645168128
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
927 : 1, 3, 9, 103, 309, 927
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
584 : 1, 2, 4, 8, 73, 146, 292, 584
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,927,648,584, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
927:3x 3x 103
648:2x 2x 2x 3x 3x 3x 3
584:2x 2x 2x 73
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 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 193645168128/(1x1728)
LCM = 193645168128/1728
LCM = 112063176
Thus, we can understand that the LCM of 552,927,648,584 is 112063176.
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FAQs on LCM of 552, 927, 648, 584
1. What is the LCM of 552, 927, 648, 584?
Answer: LCM of 552, 927, 648, 584 is 112063176.
2. How to calculate the LCM of 552, 927, 648, 584?
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, 927, 648, 584.
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}.