LCM of 543, 720, 214, 320
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 720, 214, 320 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, 720, 214, 320. So, keep reading to learn more.
Given numbers are 543,720,214,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,720,214,320 is 55776960.
Find LCM of 543,720,214,320 with Prime Factorization
| 2 | 543, 720, 214, 320 |
| 2 | 543, 360, 107, 160 |
| 2 | 543, 180, 107, 80 |
| 2 | 543, 90, 107, 40 |
| 3 | 543, 45, 107, 20 |
| 5 | 181, 15, 107, 20 |
| 181, 3, 107, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 181 x 3 x 107 x 4 = 55776960
Therefore, the lowest common multiple of 543,720,214,320 is 55776960.
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 720 x 214 x 320 = 26772940800
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
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
214 : 1, 2, 107, 214
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,720,214,320, is 1.
Now, the common factors can be found like this.
543:3x 181
720:2x 2x 2x 2x 3x 3x 5
214:2x 107
320:2x 2x 2x 2x 2x 2x 5
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 5 = 480
Therefore, the value for common factors is 480.
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 = 26772940800/(1x480)
LCM = 26772940800/480
LCM = 55776960
Thus, we can understand that the LCM of 543,720,214,320 is 55776960.
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FAQs on LCM of 543, 720, 214, 320
1. What is the LCM of 543, 720, 214, 320?
Answer: LCM of 543, 720, 214, 320 is 55776960.
2. How to calculate the LCM of 543, 720, 214, 320?
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, 720, 214, 320.
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}.