LCM of 216, 445, 675, 642, 711
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 445, 675, 642, 711 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 216, 445, 675, 642, 711. So, keep reading to learn more.
Given numbers are 216,445,675,642,711
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,445,675,642,711 is 4062511800.
Find LCM of 216,445,675,642,711 with Prime Factorization
| 2 | 216, 445, 675, 642, 711 |
| 3 | 108, 445, 675, 321, 711 |
| 3 | 36, 445, 225, 107, 237 |
| 3 | 12, 445, 75, 107, 79 |
| 5 | 4, 445, 25, 107, 79 |
| 4, 89, 5, 107, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 4 x 89 x 5 x 107 x 79 = 4062511800
Therefore, the lowest common multiple of 216,445,675,642,711 is 4062511800.
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.
216 x 445 x 675 x 642 x 711 = 29615711022000
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
445 : 1, 5, 89, 445
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
642 : 1, 2, 3, 6, 107, 214, 321, 642
711 : 1, 3, 9, 79, 237, 711
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,445,675,642,711, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
445:5x 89
675:3x 3x 3x 5x 5
642:2x 3x 107
711:3x 3x 79
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 3x 3x 3x 5 = 7290
Therefore, the value for common factors is 7290.
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 = 29615711022000/(1x7290)
LCM = 29615711022000/7290
LCM = 4062511800
Thus, we can understand that the LCM of 216,445,675,642,711 is 4062511800.
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FAQs on LCM of 216, 445, 675, 642, 711
1. What is the LCM of 216, 445, 675, 642, 711?
Answer: LCM of 216, 445, 675, 642, 711 is 4062511800.
2. How to calculate the LCM of 216, 445, 675, 642, 711?
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 216, 445, 675, 642, 711.
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}.