Find the LCM of 711, 543, 289, 828, 380 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 711, 543, 289, 828, 380. So, keep reading to learn more.
Given numbers are 711,543,289,828,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,543,289,828,380 is 325055449260.
Find LCM of 711,543,289,828,380 with Prime Factorization
2 | 711, 543, 289, 828, 380 |
2 | 711, 543, 289, 414, 190 |
3 | 711, 543, 289, 207, 95 |
3 | 237, 181, 289, 69, 95 |
79, 181, 289, 23, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 79 x 181 x 289 x 23 x 95 = 325055449260
Therefore, the lowest common multiple of 711,543,289,828,380 is 325055449260.
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.
711 x 543 x 289 x 828 x 380 = 35105988520080
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.
711 : 1, 3, 9, 79, 237, 711
543 : 1, 3, 181, 543
289 : 1, 17, 289
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,543,289,828,380, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
543:3x 181
289:17x 17
828:2x 2x 3x 3x 23
380:2x 2x 5x 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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 35105988520080/(1x108)
LCM = 35105988520080/108
LCM = 325055449260
Thus, we can understand that the LCM of 711,543,289,828,380 is 325055449260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 711, 543, 289, 828, 380?
Answer: LCM of 711, 543, 289, 828, 380 is 325055449260.
2. How to calculate the LCM of 711, 543, 289, 828, 380?
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 711, 543, 289, 828, 380.
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}.