Find the LCM of 382, 989, 189, 171 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 382, 989, 189, 171. So, keep reading to learn more.
Given numbers are 382,989,189,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,989,189,171 is 1356672618.
Find LCM of 382,989,189,171 with Prime Factorization
3 | 382, 989, 189, 171 |
3 | 382, 989, 63, 57 |
382, 989, 21, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 382 x 989 x 21 x 19 = 1356672618
Therefore, the lowest common multiple of 382,989,189,171 is 1356672618.
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.
382 x 989 x 189 x 171 = 12210053562
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.
382 : 1, 2, 191, 382
989 : 1, 23, 43, 989
189 : 1, 3, 7, 9, 21, 27, 63, 189
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,989,189,171, is 1.
Now, the common factors can be found like this.
382:2x 191
989:23x 43
189:3x 3x 3x 7
171:3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 12210053562/(1x9)
LCM = 12210053562/9
LCM = 1356672618
Thus, we can understand that the LCM of 382,989,189,171 is 1356672618.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 382, 989, 189, 171?
Answer: LCM of 382, 989, 189, 171 is 1356672618.
2. How to calculate the LCM of 382, 989, 189, 171?
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 382, 989, 189, 171.
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}.