Find the LCM of 963, 238, 867, 197, 572 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 963, 238, 867, 197, 572. So, keep reading to learn more.
Given numbers are 963,238,867,197,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,238,867,197,572 is 219525221916.
Find LCM of 963,238,867,197,572 with Prime Factorization
2 | 963, 238, 867, 197, 572 |
3 | 963, 119, 867, 197, 286 |
17 | 321, 119, 289, 197, 286 |
321, 7, 17, 197, 286 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 321 x 7 x 17 x 197 x 286 = 219525221916
Therefore, the lowest common multiple of 963,238,867,197,572 is 219525221916.
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.
963 x 238 x 867 x 197 x 572 = 22391572635432
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.
963 : 1, 3, 9, 107, 321, 963
238 : 1, 2, 7, 14, 17, 34, 119, 238
867 : 1, 3, 17, 51, 289, 867
197 : 1, 197
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,238,867,197,572, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
238:2x 7x 17
867:3x 17x 17
197:197
572:2x 2x 11x 13
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 17 = 102
Therefore, the value for common factors is 102.
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 = 22391572635432/(1x102)
LCM = 22391572635432/102
LCM = 219525221916
Thus, we can understand that the LCM of 963,238,867,197,572 is 219525221916.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 963, 238, 867, 197, 572?
Answer: LCM of 963, 238, 867, 197, 572 is 219525221916.
2. How to calculate the LCM of 963, 238, 867, 197, 572?
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 963, 238, 867, 197, 572.
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}.