Find the LCM of 861, 190, 390, 680, 197 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 861, 190, 390, 680, 197. So, keep reading to learn more.
Given numbers are 861,190,390,680,197
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,190,390,680,197 is 28488871320.
Find LCM of 861,190,390,680,197 with Prime Factorization
2 | 861, 190, 390, 680, 197 |
3 | 861, 95, 195, 340, 197 |
5 | 287, 95, 65, 340, 197 |
287, 19, 13, 68, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 287 x 19 x 13 x 68 x 197 = 28488871320
Therefore, the lowest common multiple of 861,190,390,680,197 is 28488871320.
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.
861 x 190 x 390 x 680 x 197 = 8546661396000
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
190 : 1, 2, 5, 10, 19, 38, 95, 190
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
197 : 1, 197
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,190,390,680,197, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
190:2x 5x 19
390:2x 3x 5x 13
680:2x 2x 2x 5x 17
197:197
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 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 8546661396000/(1x300)
LCM = 8546661396000/300
LCM = 28488871320
Thus, we can understand that the LCM of 861,190,390,680,197 is 28488871320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 861, 190, 390, 680, 197?
Answer: LCM of 861, 190, 390, 680, 197 is 28488871320.
2. How to calculate the LCM of 861, 190, 390, 680, 197?
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 861, 190, 390, 680, 197.
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}.