LCM of 543, 132, 605, 120, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 132, 605, 120, 880 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, 132, 605, 120, 880. So, keep reading to learn more.
Given numbers are 543,132,605,120,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,132,605,120,880 is 5256240.
Find LCM of 543,132,605,120,880 with Prime Factorization
| 2 | 543, 132, 605, 120, 880 |
| 2 | 543, 66, 605, 60, 440 |
| 2 | 543, 33, 605, 30, 220 |
| 3 | 543, 33, 605, 15, 110 |
| 5 | 181, 11, 605, 5, 110 |
| 11 | 181, 11, 121, 1, 22 |
| 181, 1, 11, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 181 x 1 x 11 x 1 x 2 = 5256240
Therefore, the lowest common multiple of 543,132,605,120,880 is 5256240.
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 132 x 605 x 120 x 880 = 4579236288000
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
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
605 : 1, 5, 11, 55, 121, 605
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,132,605,120,880, is 1.
Now, the common factors can be found like this.
543:3x 181
132:2x 2x 3x 11
605:5x 11x 11
120:2x 2x 2x 3x 5
880:2x 2x 2x 2x 5x 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 2x 2x 2x 3x 3x 5x 5x 11x 11 = 871200
Therefore, the value for common factors is 871200.
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 = 4579236288000/(1x871200)
LCM = 4579236288000/871200
LCM = 5256240
Thus, we can understand that the LCM of 543,132,605,120,880 is 5256240.
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FAQs on LCM of 543, 132, 605, 120, 880
1. What is the LCM of 543, 132, 605, 120, 880?
Answer: LCM of 543, 132, 605, 120, 880 is 5256240.
2. How to calculate the LCM of 543, 132, 605, 120, 880?
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, 132, 605, 120, 880.
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}.