LCM of 884, 496, 184, 264, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 496, 184, 264, 561 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 884, 496, 184, 264, 561. So, keep reading to learn more.
Given numbers are 884,496,184,264,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,496,184,264,561 is 83198544.
Find LCM of 884,496,184,264,561 with Prime Factorization
| 2 | 884, 496, 184, 264, 561 |
| 2 | 442, 248, 92, 132, 561 |
| 2 | 221, 124, 46, 66, 561 |
| 3 | 221, 62, 23, 33, 561 |
| 11 | 221, 62, 23, 11, 187 |
| 17 | 221, 62, 23, 1, 17 |
| 13, 62, 23, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 17 x 13 x 62 x 23 x 1 x 1 = 83198544
Therefore, the lowest common multiple of 884,496,184,264,561 is 83198544.
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.
884 x 496 x 184 x 264 x 561 = 11948642095104
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
184 : 1, 2, 4, 8, 23, 46, 92, 184
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,496,184,264,561, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
496:2x 2x 2x 2x 31
184:2x 2x 2x 23
264:2x 2x 2x 3x 11
561:3x 11x 17
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 3x 11x 17 = 143616
Therefore, the value for common factors is 143616.
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 = 11948642095104/(1x143616)
LCM = 11948642095104/143616
LCM = 83198544
Thus, we can understand that the LCM of 884,496,184,264,561 is 83198544.
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FAQs on LCM of 884, 496, 184, 264, 561
1. What is the LCM of 884, 496, 184, 264, 561?
Answer: LCM of 884, 496, 184, 264, 561 is 83198544.
2. How to calculate the LCM of 884, 496, 184, 264, 561?
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 884, 496, 184, 264, 561.
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}.