LCM of 441, 648, 184, 944, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 441, 648, 184, 944, 752 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 441, 648, 184, 944, 752. So, keep reading to learn more.
Given numbers are 441,648,184,944,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,648,184,944,752 is 4050221616.
Find LCM of 441,648,184,944,752 with Prime Factorization
| 2 | 441, 648, 184, 944, 752 |
| 2 | 441, 324, 92, 472, 376 |
| 2 | 441, 162, 46, 236, 188 |
| 2 | 441, 81, 23, 118, 94 |
| 3 | 441, 81, 23, 59, 47 |
| 3 | 147, 27, 23, 59, 47 |
| 49, 9, 23, 59, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 49 x 9 x 23 x 59 x 47 = 4050221616
Therefore, the lowest common multiple of 441,648,184,944,752 is 4050221616.
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.
441 x 648 x 184 x 944 x 752 = 37326842413056
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
184 : 1, 2, 4, 8, 23, 46, 92, 184
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,648,184,944,752, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
648:2x 2x 2x 3x 3x 3x 3
184:2x 2x 2x 23
944:2x 2x 2x 2x 59
752:2x 2x 2x 2x 47
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 2x 2x 2x 2x 3x 3 = 9216
Therefore, the value for common factors is 9216.
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 = 37326842413056/(1x9216)
LCM = 37326842413056/9216
LCM = 4050221616
Thus, we can understand that the LCM of 441,648,184,944,752 is 4050221616.
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FAQs on LCM of 441, 648, 184, 944, 752
1. What is the LCM of 441, 648, 184, 944, 752?
Answer: LCM of 441, 648, 184, 944, 752 is 4050221616.
2. How to calculate the LCM of 441, 648, 184, 944, 752?
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 441, 648, 184, 944, 752.
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}.