Find the LCM of 827, 532, 600, 145, 324 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 827, 532, 600, 145, 324. So, keep reading to learn more.
Given numbers are 827,532,600,145,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,532,600,145,324 is 51673771800.
Find LCM of 827,532,600,145,324 with Prime Factorization
2 | 827, 532, 600, 145, 324 |
2 | 827, 266, 300, 145, 162 |
3 | 827, 133, 150, 145, 81 |
5 | 827, 133, 50, 145, 27 |
827, 133, 10, 29, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 827 x 133 x 10 x 29 x 27 = 51673771800
Therefore, the lowest common multiple of 827,532,600,145,324 is 51673771800.
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.
827 x 532 x 600 x 145 x 324 = 12401705232000
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.
827 : 1, 827
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
145 : 1, 5, 29, 145
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,532,600,145,324, is 1.
Now, the common factors can be found like this.
827:827
532:2x 2x 7x 19
600:2x 2x 2x 3x 5x 5
145:5x 29
324:2x 2x 3x 3x 3x 3
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 12401705232000/(1x240)
LCM = 12401705232000/240
LCM = 51673771800
Thus, we can understand that the LCM of 827,532,600,145,324 is 51673771800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 827, 532, 600, 145, 324?
Answer: LCM of 827, 532, 600, 145, 324 is 51673771800.
2. How to calculate the LCM of 827, 532, 600, 145, 324?
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 827, 532, 600, 145, 324.
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}.