LCM of 543, 869, 884, 188, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 869, 884, 188, 231 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 543, 869, 884, 188, 231. So, keep reading to learn more.
Given numbers are 543,869,884,188,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,869,884,188,231 is 137235910812.
Find LCM of 543,869,884,188,231 with Prime Factorization
| 2 | 543, 869, 884, 188, 231 |
| 2 | 543, 869, 442, 94, 231 |
| 3 | 543, 869, 221, 47, 231 |
| 11 | 181, 869, 221, 47, 77 |
| 181, 79, 221, 47, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 181 x 79 x 221 x 47 x 7 = 137235910812
Therefore, the lowest common multiple of 543,869,884,188,231 is 137235910812.
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.
543 x 869 x 884 x 188 x 231 = 18115140227184
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.
543 : 1, 3, 181, 543
869 : 1, 11, 79, 869
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
188 : 1, 2, 4, 47, 94, 188
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,869,884,188,231, is 1.
Now, the common factors can be found like this.
543:3x 181
869:11x 79
884:2x 2x 13x 17
188:2x 2x 47
231:3x 7x 11
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 18115140227184/(1x132)
LCM = 18115140227184/132
LCM = 137235910812
Thus, we can understand that the LCM of 543,869,884,188,231 is 137235910812.
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FAQs on LCM of 543, 869, 884, 188, 231
1. What is the LCM of 543, 869, 884, 188, 231?
Answer: LCM of 543, 869, 884, 188, 231 is 137235910812.
2. How to calculate the LCM of 543, 869, 884, 188, 231?
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 543, 869, 884, 188, 231.
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}.