LCM of 198, 597, 828, 615, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 597, 828, 615, 538 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 198, 597, 828, 615, 538. So, keep reading to learn more.
Given numbers are 198,597,828,615,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,597,828,615,538 is 99949871340.
Find LCM of 198,597,828,615,538 with Prime Factorization
| 2 | 198, 597, 828, 615, 538 |
| 3 | 99, 597, 414, 615, 269 |
| 3 | 33, 199, 138, 205, 269 |
| 11, 199, 46, 205, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 199 x 46 x 205 x 269 = 99949871340
Therefore, the lowest common multiple of 198,597,828,615,538 is 99949871340.
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.
198 x 597 x 828 x 615 x 538 = 32383758314160
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
597 : 1, 3, 199, 597
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
615 : 1, 3, 5, 15, 41, 123, 205, 615
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,597,828,615,538, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
597:3x 199
828:2x 2x 3x 3x 23
615:3x 5x 41
538:2x 269
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 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 32383758314160/(1x324)
LCM = 32383758314160/324
LCM = 99949871340
Thus, we can understand that the LCM of 198,597,828,615,538 is 99949871340.
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FAQs on LCM of 198, 597, 828, 615, 538
1. What is the LCM of 198, 597, 828, 615, 538?
Answer: LCM of 198, 597, 828, 615, 538 is 99949871340.
2. How to calculate the LCM of 198, 597, 828, 615, 538?
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 198, 597, 828, 615, 538.
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}.