LCM of 197, 121, 789, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 197, 121, 789, 957 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 197, 121, 789, 957. So, keep reading to learn more.
Given numbers are 197,121,789,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 197,121,789,957 is 545414397.
Find LCM of 197,121,789,957 with Prime Factorization
| 3 | 197, 121, 789, 957 |
| 11 | 197, 121, 263, 319 |
| 197, 11, 263, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 197 x 11 x 263 x 29 = 545414397
Therefore, the lowest common multiple of 197,121,789,957 is 545414397.
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.
197 x 121 x 789 x 957 = 17998675101
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.
197 : 1, 197
121 : 1, 11, 121
789 : 1, 3, 263, 789
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,121,789,957, is 1.
Now, the common factors can be found like this.
197:197
121:11x 11
789:3x 263
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 17998675101/(1x33)
LCM = 17998675101/33
LCM = 545414397
Thus, we can understand that the LCM of 197,121,789,957 is 545414397.
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FAQs on LCM of 197, 121, 789, 957
1. What is the LCM of 197, 121, 789, 957?
Answer: LCM of 197, 121, 789, 957 is 545414397.
2. How to calculate the LCM of 197, 121, 789, 957?
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 197, 121, 789, 957.
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}.