Find the LCM of 211, 984, 680, 323, 372 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 211, 984, 680, 323, 372. So, keep reading to learn more.
Given numbers are 211,984,680,323,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,984,680,323,372 is 10394695560.
Find LCM of 211,984,680,323,372 with Prime Factorization
2 | 211, 984, 680, 323, 372 |
2 | 211, 492, 340, 323, 186 |
2 | 211, 246, 170, 323, 93 |
3 | 211, 123, 85, 323, 93 |
17 | 211, 41, 85, 323, 31 |
211, 41, 5, 19, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 211 x 41 x 5 x 19 x 31 = 10394695560
Therefore, the lowest common multiple of 211,984,680,323,372 is 10394695560.
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.
211 x 984 x 680 x 323 x 372 = 16964143153920
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.
211 : 1, 211
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
323 : 1, 17, 19, 323
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,984,680,323,372, is 1.
Now, the common factors can be found like this.
211:211
984:2x 2x 2x 3x 41
680:2x 2x 2x 5x 17
323:17x 19
372:2x 2x 3x 31
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 2x 3x 17 = 1632
Therefore, the value for common factors is 1632.
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 = 16964143153920/(1x1632)
LCM = 16964143153920/1632
LCM = 10394695560
Thus, we can understand that the LCM of 211,984,680,323,372 is 10394695560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 211, 984, 680, 323, 372?
Answer: LCM of 211, 984, 680, 323, 372 is 10394695560.
2. How to calculate the LCM of 211, 984, 680, 323, 372?
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 211, 984, 680, 323, 372.
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}.