LCM of 543, 565, 195, 280, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 565, 195, 280, 405 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, 565, 195, 280, 405. So, keep reading to learn more.
Given numbers are 543,565,195,280,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,565,195,280,405 is 6030362520.
Find LCM of 543,565,195,280,405 with Prime Factorization
| 3 | 543, 565, 195, 280, 405 |
| 5 | 181, 565, 65, 280, 135 |
| 181, 113, 13, 56, 27 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 181 x 113 x 13 x 56 x 27 = 6030362520
Therefore, the lowest common multiple of 543,565,195,280,405 is 6030362520.
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 565 x 195 x 280 x 405 = 6784157835000
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
565 : 1, 5, 113, 565
195 : 1, 3, 5, 13, 15, 39, 65, 195
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,565,195,280,405, is 1.
Now, the common factors can be found like this.
543:3x 181
565:5x 113
195:3x 5x 13
280:2x 2x 2x 5x 7
405:3x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 5 = 1125
Therefore, the value for common factors is 1125.
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 = 6784157835000/(1x1125)
LCM = 6784157835000/1125
LCM = 6030362520
Thus, we can understand that the LCM of 543,565,195,280,405 is 6030362520.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 543, 565, 195, 280, 405
1. What is the LCM of 543, 565, 195, 280, 405?
Answer: LCM of 543, 565, 195, 280, 405 is 6030362520.
2. How to calculate the LCM of 543, 565, 195, 280, 405?
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, 565, 195, 280, 405.
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}.