LCM of 398, 597, 199, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 597, 199, 132 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 398, 597, 199, 132. So, keep reading to learn more.
Given numbers are 398,597,199,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,597,199,132 is 26268.
Find LCM of 398,597,199,132 with Prime Factorization
| 2 | 398, 597, 199, 132 |
| 3 | 199, 597, 199, 66 |
| 199 | 199, 199, 199, 22 |
| 1, 1, 1, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 199 x 1 x 1 x 1 x 22 = 26268
Therefore, the lowest common multiple of 398,597,199,132 is 26268.
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.
398 x 597 x 199 x 132 = 6241434408
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.
398 : 1, 2, 199, 398
597 : 1, 3, 199, 597
199 : 1, 199
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,597,199,132, is 1.
Now, the common factors can be found like this.
398:2x 199
597:3x 199
199:199
132:2x 2x 3x 11
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 199x 199 = 237606
Therefore, the value for common factors is 237606.
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 = 6241434408/(1x237606)
LCM = 6241434408/237606
LCM = 26268
Thus, we can understand that the LCM of 398,597,199,132 is 26268.
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FAQs on LCM of 398, 597, 199, 132
1. What is the LCM of 398, 597, 199, 132?
Answer: LCM of 398, 597, 199, 132 is 26268.
2. How to calculate the LCM of 398, 597, 199, 132?
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 398, 597, 199, 132.
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}.