LCM of 543, 612, 660, 966, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 612, 660, 966, 684 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, 612, 660, 966, 684. So, keep reading to learn more.
Given numbers are 543,612,660,966,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,612,660,966,684 is 18636835140.
Find LCM of 543,612,660,966,684 with Prime Factorization
| 2 | 543, 612, 660, 966, 684 |
| 2 | 543, 306, 330, 483, 342 |
| 3 | 543, 153, 165, 483, 171 |
| 3 | 181, 51, 55, 161, 57 |
| 181, 17, 55, 161, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 181 x 17 x 55 x 161 x 19 = 18636835140
Therefore, the lowest common multiple of 543,612,660,966,684 is 18636835140.
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 612 x 660 x 966 x 684 = 144920030048640
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
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,612,660,966,684, is 3.
Now, the common factors can be found like this.
543:3x 181
612:2x 2x 3x 3x 17
660:2x 2x 3x 5x 11
966:2x 3x 7x 23
684:2x 2x 3x 3x 19
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 3x 3x 3x 3 = 2592
Therefore, the value for common factors is 2592.
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 = 144920030048640/(3x2592)
LCM = 144920030048640/7776
LCM = 18636835140
Thus, we can understand that the LCM of 543,612,660,966,684 is 18636835140.
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FAQs on LCM of 543, 612, 660, 966, 684
1. What is the LCM of 543, 612, 660, 966, 684?
Answer: LCM of 543, 612, 660, 966, 684 is 18636835140.
2. How to calculate the LCM of 543, 612, 660, 966, 684?
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, 612, 660, 966, 684.
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}.