LCM of 543, 903, 288, 537, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 903, 288, 537, 342 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, 903, 288, 537, 342. So, keep reading to learn more.
Given numbers are 543,903,288,537,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,903,288,537,342 is 53363485728.
Find LCM of 543,903,288,537,342 with Prime Factorization
| 2 | 543, 903, 288, 537, 342 |
| 3 | 543, 903, 144, 537, 171 |
| 3 | 181, 301, 48, 179, 57 |
| 181, 301, 16, 179, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 181 x 301 x 16 x 179 x 19 = 53363485728
Therefore, the lowest common multiple of 543,903,288,537,342 is 53363485728.
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 903 x 288 x 537 x 342 = 25934654063808
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
903 : 1, 3, 7, 21, 43, 129, 301, 903
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
537 : 1, 3, 179, 537
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,903,288,537,342, is 3.
Now, the common factors can be found like this.
543:3x 181
903:3x 7x 43
288:2x 2x 2x 2x 2x 3x 3
537:3x 179
342:2x 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 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 25934654063808/(3x162)
LCM = 25934654063808/486
LCM = 53363485728
Thus, we can understand that the LCM of 543,903,288,537,342 is 53363485728.
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, 903, 288, 537, 342
1. What is the LCM of 543, 903, 288, 537, 342?
Answer: LCM of 543, 903, 288, 537, 342 is 53363485728.
2. How to calculate the LCM of 543, 903, 288, 537, 342?
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, 903, 288, 537, 342.
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}.