LCM of 825, 196, 384, 110, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 196, 384, 110, 546 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 825, 196, 384, 110, 546. So, keep reading to learn more.
Given numbers are 825,196,384,110,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,196,384,110,546 is 67267200.
Find LCM of 825,196,384,110,546 with Prime Factorization
| 2 | 825, 196, 384, 110, 546 |
| 2 | 825, 98, 192, 55, 273 |
| 3 | 825, 49, 96, 55, 273 |
| 5 | 275, 49, 32, 55, 91 |
| 7 | 11, 49, 32, 55, 91 |
| 11 | 11, 7, 32, 55, 13 |
| 1, 7, 32, 5, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 11 x 1 x 7 x 32 x 5 x 13 = 67267200
Therefore, the lowest common multiple of 825,196,384,110,546 is 67267200.
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.
825 x 196 x 384 x 110 x 546 = 3729293568000
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
110 : 1, 2, 5, 10, 11, 22, 55, 110
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,196,384,110,546, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
196:2x 2x 7x 7
384:2x 2x 2x 2x 2x 2x 2x 3
110:2x 5x 11
546:2x 3x 7x 13
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 3x 3x 5x 7x 11 = 55440
Therefore, the value for common factors is 55440.
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 = 3729293568000/(1x55440)
LCM = 3729293568000/55440
LCM = 67267200
Thus, we can understand that the LCM of 825,196,384,110,546 is 67267200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 825, 196, 384, 110, 546
1. What is the LCM of 825, 196, 384, 110, 546?
Answer: LCM of 825, 196, 384, 110, 546 is 67267200.
2. How to calculate the LCM of 825, 196, 384, 110, 546?
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 825, 196, 384, 110, 546.
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}.